Paper Citation Record · LEDGER

Configurations of Lagrangian spheres in $K3$ surfaces

As of 11 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2507.15039.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.15039 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:47:35.916186Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T09:33:10.882940Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-10T09:33:41.238702Z

Reference resolution

49 of 49 outbound references displayed

verified exact0
verified fuzzy33
unresolved16
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9e89c6d0-d31c-4f79-a195-90a86a782b89 · outbound

This paper cites an unresolved cited work.

Configurations of Lagrangian spheres in $K3$ surfaces Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:47:42.031350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7c78cc5e-b30c-48bd-be71-6c76c4167b79 · outbound

This paper cites Bamler and Bruce Kleiner.

Configurations of Lagrangian spheres in $K3$ surfaces Bamler and Bruce Kleiner

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:42.019596Z

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Observation cd1e178c-d97d-4bf6-aee2-47b7b35d424c · outbound

This paper cites Brieskorn.

Configurations of Lagrangian spheres in $K3$ surfaces Brieskorn

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:42.007300Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f467cd4f-2963-486f-a0e1-a5b63dd691dc · outbound

This paper cites Sur les groupes de tresses.

Configurations of Lagrangian spheres in $K3$ surfaces Sur les groupes de tresses

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.994320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8b2d8de7-cfdd-480a-9c3c-624a7859dd3c · outbound

This paper cites Braid groups and K leinian singularities.

Configurations of Lagrangian spheres in $K3$ surfaces Braid groups and K leinian singularities

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.981677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4c4c6cd3-5295-4e26-9f14-11558fddac96 · outbound

This paper cites an unresolved cited work.

Configurations of Lagrangian spheres in $K3$ surfaces Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:47:41.969139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 123ad549-15e0-4faa-b151-337f0d79baf3 · outbound

This paper cites Les immeubles des groupes de tresses g\'en\'eralis\'es.

Configurations of Lagrangian spheres in $K3$ surfaces Les immeubles des groupes de tresses g\'en\'eralis\'es

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.957154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c305294a-cf47-4df5-a326-eaf763c55ba8 · outbound

This paper cites Digne and Y.

Configurations of Lagrangian spheres in $K3$ surfaces Digne and Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.943359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6aaf2927-301a-4d41-9855-b9c111e28477 · outbound

This paper cites Fifteen characterizations of rational double points and simple critical points.

Configurations of Lagrangian spheres in $K3$ surfaces Fifteen characterizations of rational double points and simple critical points

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.930723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 78b576ff-abdc-4a8c-baa2-3920d4403a21 · outbound

This paper cites Naturality of the contact invariant in monopole F loer homology under strong symplectic cobordisms.

Configurations of Lagrangian spheres in $K3$ surfaces Naturality of the contact invariant in monopole F loer homology under strong symplectic cobordisms

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.918878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a6d4e34b-4cac-44df-925e-e712dead9f08 · outbound

This paper cites A primer on mapping class groups , volume 49.

Configurations of Lagrangian spheres in $K3$ surfaces A primer on mapping class groups , volume 49

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.906480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 97a1cf67-c58d-4db5-90af-0fa2db44088b · outbound

This paper cites an unresolved cited work.

Configurations of Lagrangian spheres in $K3$ surfaces Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:47:41.892843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f4c466a3-6e8a-424a-a6c0-a3d56e545383 · outbound

This paper cites Symplectic structures on t2-bundles over t2.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectic structures on t2-bundles over t2

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.708064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7a26f2df-e7f2-4db7-926d-f09ff8a62ada · outbound

This paper cites An introduction to contact topology , volume 109 of Cambridge Studies in Advanced Mathematics.

Configurations of Lagrangian spheres in $K3$ surfaces An introduction to contact topology , volume 109 of Cambridge Studies in Advanced Mathematics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.438694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1fc8144c-4bc6-4d9e-807c-365d410902c4 · outbound

This paper cites Symplectomorphisms of some weinstein 4-manifolds, 2025.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectomorphisms of some weinstein 4-manifolds, 2025

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:41.201267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c31cc406-5755-4fc3-a692-647b5449c2f9 · outbound

This paper cites Humphreys.

Configurations of Lagrangian spheres in $K3$ surfaces Humphreys

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:40.857012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 47ca4ce4-80ff-4789-8df5-4cffc002633d · outbound

This paper cites Humphreys.

Configurations of Lagrangian spheres in $K3$ surfaces Humphreys

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:40.530672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8e8a7229-849f-42ad-8f8e-80fbf10942d1 · outbound

This paper cites an unresolved cited work.

Configurations of Lagrangian spheres in $K3$ surfaces Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:47:40.177975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation caf168e8-91b0-455e-bcce-7fc507deaa26 · outbound

This paper cites Lagrangian tori in four-dimensional milnor fibres.

Configurations of Lagrangian spheres in $K3$ surfaces Lagrangian tori in four-dimensional milnor fibres

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:40.035626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation df90232d-b41d-4ea8-920f-45a0a792d1f8 · outbound

This paper cites an unresolved cited work.

Configurations of Lagrangian spheres in $K3$ surfaces Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:47:39.857305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b41e9f77-acbd-479c-b6ba-f745148a6316 · outbound

This paper cites Monopoles and Three-Manifolds.

Configurations of Lagrangian spheres in $K3$ surfaces Monopoles and Three-Manifolds

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:39.635478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 60927dd8-891c-47ff-8b44-640c47ba6eeb · outbound

This paper cites Kronheimer.

Configurations of Lagrangian spheres in $K3$ surfaces Kronheimer

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:39.489943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bc6caec6-9c28-46f9-9360-ca2bd2a24938 · outbound

This paper cites On the order of D ehn twists.

Configurations of Lagrangian spheres in $K3$ surfaces On the order of D ehn twists

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:39.283215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5bf5a39c-47ab-4875-ad74-15211b5b03e2 · outbound

This paper cites Quivers, F loer cohomology, and braid group actions.

Configurations of Lagrangian spheres in $K3$ surfaces Quivers, F loer cohomology, and braid group actions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T15:47:33.183798Z

Source-reported events for the cited work

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Observation 13445fbc-6a2c-420c-a718-d47c08c1321d · outbound

This paper cites Symplectic C alabi- Y au surfaces.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectic C alabi- Y au surfaces

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:39.127195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 57fb4305-d69b-411c-90dd-bfeca6be4ea2 · outbound

This paper cites The Family Seiberg-Witten Invariant and nonsymplectic loops of diffeomorphisms.

Configurations of Lagrangian spheres in $K3$ surfaces The Family Seiberg-Witten Invariant and nonsymplectic loops of diffeomorphisms

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T15:47:33.370702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c89b420e-247f-40b6-9e07-55f90d1e172e · outbound

This paper cites Family switching formula and the -n exceptional rational curves, 2003.

Configurations of Lagrangian spheres in $K3$ surfaces Family switching formula and the -n exceptional rational curves, 2003

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:38.968111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cadbf132-99f3-4729-bc69-1e504f96d049 · outbound

This paper cites Family S eiberg- W itten invariants and wall crossing formulas.

Configurations of Lagrangian spheres in $K3$ surfaces Family S eiberg- W itten invariants and wall crossing formulas

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:38.774937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 74df6a85-ed02-46c8-8ff9-1b018d8e783e · outbound

This paper cites Symplectic (-2) -spheres and the symplectomorphism group of small rational 4-manifolds.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectic (-2) -spheres and the symplectomorphism group of small rational 4-manifolds

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:38.555493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4ea43196-4158-4d8b-ba1d-4fc3cb973666 · outbound

This paper cites Symplectic (-2) -spheres and the symplectomorphism group of small rational 4-manifolds II.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectic (-2) -spheres and the symplectomorphism group of small rational 4-manifolds II

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:38.364086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 869fe070-96b7-4c01-85a5-37f9ecf85513 · outbound

This paper cites Symplectic torelli groups of rational surfaces, 2022.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectic torelli groups of rational surfaces, 2022

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T15:47:33.811122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eb8cf51-04ba-4bc3-9c18-1e59c01ba407 · outbound

This paper cites On the monopole lefschetz number of finite-order diffeomorphisms.

Configurations of Lagrangian spheres in $K3$ surfaces On the monopole lefschetz number of finite-order diffeomorphisms

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:38.189155Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d100766d-eb48-4c8a-8b26-d1498bb59273 · outbound

This paper cites A monopole invariant for families of contact structures.

Configurations of Lagrangian spheres in $K3$ surfaces A monopole invariant for families of contact structures

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:38.058688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7fcb670c-06db-4b4d-bc66-613d27b354b4 · outbound

This paper cites an unresolved cited work.

Configurations of Lagrangian spheres in $K3$ surfaces Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:47:37.867159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 51fb23c3-a6dc-4e34-b14f-b73162f1b72a · outbound

This paper cites Legendrian knots and monopoles.

Configurations of Lagrangian spheres in $K3$ surfaces Legendrian knots and monopoles

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:37.673477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2f6494c4-79bc-4a29-857d-86ef3f0972f4 · outbound

This paper cites Contractible stability spaces and faithful braid group actions.

Configurations of Lagrangian spheres in $K3$ surfaces Contractible stability spaces and faithful braid group actions

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:37.513469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 446e5c45-0ac3-4357-aa07-b3e5911533ab · outbound

This paper cites Lagrangian two-spheres can be symplectically knotted.

Configurations of Lagrangian spheres in $K3$ surfaces Lagrangian two-spheres can be symplectically knotted

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:37.357354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation eb735e77-7d78-468c-8a32-a915351f375a · outbound

This paper cites A long exact sequence for symplectic F loer cohomology.

Configurations of Lagrangian spheres in $K3$ surfaces A long exact sequence for symplectic F loer cohomology

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:37.178434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 21b48daa-45af-48ad-af2a-5410a836a1a1 · outbound

This paper cites Lectures on four-dimensional D ehn twists.

Configurations of Lagrangian spheres in $K3$ surfaces Lectures on four-dimensional D ehn twists

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T15:47:34.785779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72e0e3c7-1881-435d-9263-37e0ee4ba41a · outbound

This paper cites Diffeomorphisms of the 2 -sphere.

Configurations of Lagrangian spheres in $K3$ surfaces Diffeomorphisms of the 2 -sphere

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:37.000781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 667c0a0d-7e97-4d18-a58f-6a6460312445 · outbound

This paper cites Symplectic mapping class groups of k3 surfaces and seiberg--witten invariants.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectic mapping class groups of k3 surfaces and seiberg--witten invariants

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:36.828539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6a654bf9-97e3-4c14-b044-932d7050dd11 · outbound

This paper cites Symplectic mapping class groups of blowups of tori.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectic mapping class groups of blowups of tori

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T15:47:35.193987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7b842fd-d8bc-45d2-b7c5-4ddaffe61d4b · outbound

This paper cites Symplectic topology of K3 surfaces via mirror symmetry.

Configurations of Lagrangian spheres in $K3$ surfaces Symplectic topology of K3 surfaces via mirror symmetry

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T15:47:35.333007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d2b7008-223f-42a5-a876-a3fd4c2403a6 · outbound

This paper cites Braid group actions on derived categories of coherent sheaves.

Configurations of Lagrangian spheres in $K3$ surfaces Braid group actions on derived categories of coherent sheaves

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:36.634534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b8502c32-84f0-4c7c-a061-30a4ea4cc9b2 · outbound

This paper cites an unresolved cited work.

Configurations of Lagrangian spheres in $K3$ surfaces Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:47:36.479445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5ffda2c9-4474-4269-9129-7a698bdef7e4 · outbound

This paper cites The S eiberg- W itten invariants and symplectic forms.

Configurations of Lagrangian spheres in $K3$ surfaces The S eiberg- W itten invariants and symplectic forms

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T15:47:35.639757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d23936e-6da4-46cf-bf94-5d26caec5608 · outbound

This paper cites More constraints on symplectic forms from S eiberg- W itten invariants.

Configurations of Lagrangian spheres in $K3$ surfaces More constraints on symplectic forms from S eiberg- W itten invariants

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T15:47:35.730286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cebe7d46-59f1-4bc0-be63-641cc59ab5b4 · outbound

This paper cites an unresolved cited work.

Configurations of Lagrangian spheres in $K3$ surfaces Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:47:36.271829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 30764ad0-b77b-4f26-94e0-2f38bcd8842e · outbound

This paper cites Commuting symplectomorphisms and D ehn twists in divisors.

Configurations of Lagrangian spheres in $K3$ surfaces Commuting symplectomorphisms and D ehn twists in divisors

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:47:36.098609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 97f50ca0-9575-4037-be80-a32b24636913 · inbound

Gauge theory for families cites this paper.

Gauge theory for families Configurations of Lagrangian spheres in $K3$ surfaces

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-10T09:18:31.561192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ae248f39-96b5-46ef-95c1-4c9ff558639d · inbound

Diffeomorphism groups and gauge theory for families cites this paper.

Diffeomorphism groups and gauge theory for families Configurations of Lagrangian spheres in $K3$ surfaces

Reference 66

Resolution: verified exact; arxiv_id, observed 2026-05-10T09:33:41.240443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.