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Paper Citation Record · LEDGER

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

As of 16 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:1908.06878.

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

pith.paper-citation-record.v1
1908.06878 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:43:20.254098Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

42 of 42 outbound references displayed

  • verified exact23
  • verified fuzzy3
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

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Outbound references

Observation c0041793-1e22-4708-865b-f23520a34f2f · outbound

This paper cites Braid pictures for Artin groups.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Braid pictures for Artin groups

Reference 1

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local_arxiv, observed 2026-08-14T12:43:20.679822Z

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Observation 674a326f-c777-42c2-af5b-9c8dbfd4bd52 · outbound

This paper cites Categorification of the Kauffman bracket skein module of I-bundles over surfaces.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Categorification of the Kauffman bracket skein module of I-bundles over surfaces

Reference 2

Resolution
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local_arxiv, observed 2026-08-14T12:43:20.667946Z

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Observation 34094c76-90cf-4395-ae22-9baef8d57ad6 · outbound

This paper cites Brieskorn.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Brieskorn

Reference 3

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.119950Z digest=sha256:b15b0f17d8c4f5e9993ab492182ddfa4963e2d8c2f61fe552a89ebd022ce1f52

Observation e958069b-e1f9-481b-864b-72bcb55ed112 · outbound

This paper cites Remarks on coloured triply graded link invariants.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Remarks on coloured triply graded link invariants

Reference 4

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local_arxiv, observed 2026-08-14T12:43:20.655379Z

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Observation 48729897-a415-4924-9d3f-e11ef2dd06dc · outbound

This paper cites Two boundary Hecke Algebras and combinatorics of type C.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Two boundary Hecke Algebras and combinatorics of type C

Reference 5

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local_arxiv, observed 2026-08-14T12:43:20.641642Z

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Observation 6c1f7383-63d6-4a91-b5f8-ca7caba3f346 · outbound

This paper cites Gaitsgory's central sheaves via the diagrammatic Hecke category.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Gaitsgory's central sheaves via the diagrammatic Hecke category

Reference 6

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source=arxiv_source observed=2026-08-14T12:43:20.130804Z digest=sha256:2290e5cd9d96102356ba640006dbe1deb08c5b9b338b4f034363670067c670c1

Observation 38607ad7-c375-4e22-b7ca-546fb1c16dbd · outbound

This paper cites Diagrammatics for Soergel categories.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Diagrammatics for Soergel categories

Reference 7

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Observation b42ffe9e-0b82-45a5-9e3b-5a9afab8bd4a · outbound

This paper cites Modular representation theory in type A via Soergel bimodules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Modular representation theory in type A via Soergel bimodules

Reference 8

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local_arxiv, observed 2026-08-14T12:43:20.610011Z

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Observation 37ae8baa-3178-49db-b074-8e0a9d9a3663 · outbound

This paper cites On cubes of Frobenius extensions.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules On cubes of Frobenius extensions

Reference 9

Resolution
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local_arxiv, observed 2026-08-14T12:43:20.598032Z

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Observation 987df595-8bf8-4d4d-8697-5eb69540c11d · outbound

This paper cites The Hodge theory of Soergel bimodules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules The Hodge theory of Soergel bimodules

Reference 10

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Observation 8a89e4f7-0c90-4ba5-ad6a-875c9d6ab9bf · outbound

This paper cites Markov traces and knot invariants related to Iwahori-Hecke algebras of type B.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Markov traces and knot invariants related to Iwahori-Hecke algebras of type B

Reference 11

Resolution
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local_arxiv, observed 2026-08-14T12:43:20.577185Z

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Observation fa4e6d24-bf07-43a7-be7c-5f88e4b6d5eb · outbound

This paper cites Quadruply-graded colored homology of knots.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Quadruply-graded colored homology of knots

Reference 12

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source=arxiv_source observed=2026-08-14T12:43:20.151977Z digest=sha256:69e04e089a1e745502eb1a2ff4aeb82811f75f8f7c45ad00fa38c1ed7f2a28a7

Observation a0ac372a-b782-49d0-a02c-86eda357f52f · outbound

This paper cites Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology

Reference 13

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source=arxiv_source observed=2026-08-14T12:43:20.154976Z digest=sha256:050c71b66db914120c71870de18210e91ae7e4957368c61a23208b7f00bcce6b

Observation 9f0d837f-9203-40bc-bdf3-3dda5e2f3ac3 · outbound

This paper cites Annular Khovanov homology and knotted Schur-Weyl representations.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Annular Khovanov homology and knotted Schur-Weyl representations

Reference 14

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source=arxiv_source observed=2026-08-14T12:43:20.158782Z digest=sha256:5cae09c36b00c0f4913b27edd6addc38d4925cff26114f1782818f1c01a0e93e

Observation 8d18ae59-ab0a-4c25-875d-8fec5e8bdab4 · outbound

This paper cites Khovanov homology, sutured Floer homology, and annular links.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Khovanov homology, sutured Floer homology, and annular links

Reference 15

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local_arxiv, observed 2026-08-14T12:43:20.540995Z

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Observation 2f406a89-7b31-479e-913a-ef3692ec29f8 · outbound

This paper cites Homological algebra of knots and BPS states.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Homological algebra of knots and BPS states

Reference 16

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local_arxiv, observed 2026-08-14T12:43:20.527035Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 42e5831c-8d29-4983-88e4-c4dc1465b721 · outbound

This paper cites Knot theory in handlebodies.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Knot theory in handlebodies

Reference 17

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Observation 9c28ea35-7a5f-4942-9a47-8afbe50b26cf · outbound

This paper cites Categorified Young symmetrizers and stable homology of torus links.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Categorified Young symmetrizers and stable homology of torus links

Reference 18

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Observation e45c733e-dfe2-4ecc-80f3-aaea2a78fd6d · outbound

This paper cites Schur-Weyl duality for certain infinite dimensional $\rm{U}_q(\mathfrak{sl}_2)$-modules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Schur-Weyl duality for certain infinite dimensional $\rm{U}_q(\mathfrak{sl}_2)$-modules

Reference 19

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Observation d16074ea-8201-4ae4-b05b-dd9cb4d138f0 · outbound

This paper cites an unresolved cited work.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Unresolved cited work

Reference 20

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Observation 0352aa8e-9e5d-443e-b0d1-d4041f0ac863 · outbound

This paper cites A categorification of the Jones polynomial.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules A categorification of the Jones polynomial

Reference 21

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Observation 1a8d6491-f721-40d6-bca2-6bfd750e9606 · outbound

This paper cites Triply-graded link homology and Hochschild homology of Soergel bimodules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Triply-graded link homology and Hochschild homology of Soergel bimodules

Reference 22

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Observation 4d3429c9-a2e9-4d54-a346-7a565815e419 · outbound

This paper cites Matrix factorizations and link homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Matrix factorizations and link homology

Reference 23

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source=arxiv_source observed=2026-08-14T12:43:20.190548Z digest=sha256:f89ee9f99acb2d6d2ef400af517d37e50f04c010489689ab26c8f13795eab4a8

Observation a79b884e-727b-4c41-baf4-ff5833c1087f · outbound

This paper cites Matrix factorizations and link homology II.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Matrix factorizations and link homology II

Reference 24

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source=arxiv_source observed=2026-08-14T12:43:20.193511Z digest=sha256:48d11bd50bedea26c29c03090a98e1aac21989f8f18003a8b814b92a1da3f4e2

Observation 971eef69-0bfa-4678-aae1-868ff74e0713 · outbound

This paper cites Lambropoulou.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Lambropoulou

Reference 25

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation be6a9c45-a180-46aa-9d58-99ff2641e6d1 · outbound

This paper cites Braid structures in knot complements, handlebodies and 3-manifolds.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Braid structures in knot complements, handlebodies and 3-manifolds

Reference 26

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local_arxiv, observed 2026-08-14T12:43:20.444801Z

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source=arxiv_source observed=2026-08-14T12:43:20.199090Z digest=sha256:8c72b53a3520187a2b4f5ef0357cd69beea0a1b18c54b9fa73dd1f98379bf6e3

Observation 2d3514d3-0a06-430d-9706-9e4edd7071b1 · outbound

This paper cites The 1,2-coloured HOMFLY-PT link homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules The 1,2-coloured HOMFLY-PT link homology

Reference 27

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local_arxiv, observed 2026-08-14T12:43:20.433360Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 035f7da5-fb99-4ecf-b473-f72f229ba71e · outbound

This paper cites Affine braids, Markov traces and the category O.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Affine braids, Markov traces and the category O

Reference 28

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local_arxiv, observed 2026-08-14T12:43:20.420745Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.205860Z digest=sha256:e140326e23b64a5adfe3fdbca7de433fbabfe8269bd3078fc35d99e953133b85

Observation 85636c17-b335-4ee8-b7d8-0ede68c85614 · outbound

This paper cites Sutured annular Khovanov-Rozansky homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Sutured annular Khovanov-Rozansky homology

Reference 29

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local_arxiv, observed 2026-08-14T12:43:20.407053Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.209466Z digest=sha256:0bf9a7980c857320df54bbe493dd4ba4efdd92085c6e8fb77788ff1bdc7ef74b

Observation defea6e2-36fa-4243-b782-e59390689d4d · outbound

This paper cites Annular Evaluation and Link Homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Annular Evaluation and Link Homology

Reference 30

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:43:20.212774Z digest=sha256:87259def69527eddb39ba083be2ea867d648a5439eb6a7d9f0ae79e9f0c2cdf0

Observation 0bc2fd76-2929-40a1-9ff4-2ceeeaac32c5 · outbound

This paper cites On knot Floer homology in double branched covers.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules On knot Floer homology in double branched covers

Reference 31

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local_arxiv, observed 2026-08-14T12:43:20.383088Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.216029Z digest=sha256:42bc279fec89c65aed8de3e7d825f161d36714466da50e58539eb013a4438ddc

Observation d16ffb2e-14de-4345-b4f0-ada9de5b60b6 · outbound

This paper cites Rose and D.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Rose and D

Reference 32

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.219674Z digest=sha256:26a6aa34a23b8d0b9cc4bbff0b81f0a467343a3f2768359f05db7e3d4d24641c

Observation 82500a06-ee00-4b44-b50d-babc12e77559 · outbound

This paper cites Categorification of the braid groups.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Categorification of the braid groups

Reference 33

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:43:20.222535Z digest=sha256:6dc0f0db8ab659607397131800709b843750f2964eb9fc429973e4b08ff2b064

Observation 435b19fb-8af4-4f50-baf5-37a950c31526 · outbound

This paper cites Khovanov-Rozansky homology and 2-braid groups.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Khovanov-Rozansky homology and 2-braid groups

Reference 34

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local_arxiv, observed 2026-08-14T12:43:20.361742Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.225368Z digest=sha256:43322037c14e00924a4534a6b95f1ae8afcbb838049eb5eb7041b4afe600ed11

Observation bf7ae748-32da-47fe-85c4-6f79482f1e21 · outbound

This paper cites Exotic Springer fibers for orbits corresponding to one-row bipartitions.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Exotic Springer fibers for orbits corresponding to one-row bipartitions

Reference 35

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local_arxiv, observed 2026-08-14T12:43:20.347767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b4cb9141-4107-4efe-afd7-b9fed57da021 · outbound

This paper cites an unresolved cited work.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-14T12:43:20.232749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 03042e25-a2c4-47a1-a4f6-072d99a42926 · outbound

This paper cites Super $q$-Howe duality and web categories.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Super $q$-Howe duality and web categories

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-14T12:43:20.236283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:43:20.236283Z digest=sha256:8848de095e40ce2ca73b3b02cbc117fa2d2c43d45f73147ad0838b47c9ae3099

Observation 2ff954c9-4943-4064-b31f-a97fff2d6afc · outbound

This paper cites Vershinin.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Vershinin

Reference 38

Resolution
verified exact
doi, observed 2026-08-14T12:43:20.279078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.240380Z digest=sha256:75a8456c1e7fccdf0853f2c284d1ccbfbf5eadb7998c41834a8c94e3b260de5f

Observation c39fd685-034d-4915-953b-056cd2590add · outbound

This paper cites The geometry of Markov traces.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules The geometry of Markov traces

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-14T12:43:20.243101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:43:20.243101Z digest=sha256:613113cc4cd5b64dbedbbdd1fc74a03bc99f73eedb86f0424e0a98860c55aced

Observation ee054f7f-f748-4dc9-b142-62ca966897aa · outbound

This paper cites A geometric construction of colored HOMFLYPT homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules A geometric construction of colored HOMFLYPT homology

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:43:20.321881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ba55a6d7-4297-4c68-95e6-8989cf8e5296 · outbound

This paper cites Singular Soergel bimodules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Singular Soergel bimodules

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-14T12:43:20.250901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:43:20.250901Z digest=sha256:cdc74a88616c88bf7b625e5a5b4d5e5683eaf7632d3305db9414a5b29d0bdbda

Observation 8debe692-32c0-430d-b37a-de4650204a29 · outbound

This paper cites A colored sl(N)-homology for links in S^3.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules A colored sl(N)-homology for links in S^3

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:43:20.301925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.