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Paper Citation Record · LEDGER

On the relative $L$-theory and the relative signature of PL manifolds with boundary

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.07451.

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

pith.paper-citation-record.v1
1908.07451 v5

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:51:11.693044Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

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  • verified fuzzy24
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

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Outbound references

Observation 3ea16841-f79e-4859-aefa-4b70a255caa2 · outbound

This paper cites Arithmetic manif olds of positive scalar curvature.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Arithmetic manif olds of positive scalar curvature

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1fbecc1f-af56-4870-8b12-740d4f9211df · outbound

This paper cites A geometric inte rpretation of Siebenmann’s periodicity phenomenon.

On the relative $L$-theory and the relative signature of PL manifolds with boundary A geometric inte rpretation of Siebenmann’s periodicity phenomenon

Reference 2

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation af59e4f0-c15a-4acd-a45d-4ba7ce71b8d1 · outbound

This paper cites Positive scalar curvature and a new index theory for noncompact manifolds.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Positive scalar curvature and a new index theory for noncompact manifolds

Reference 3

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Unavailable: canonical work link unavailable.

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Observation 1135b09e-2cc2-42e0-889e-28df49585b1e · outbound

This paper cites Higher rho in variant is an obstruction to the inverse being local.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Higher rho in variant is an obstruction to the inverse being local

Reference 4

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Observation 26857ea5-8b4a-4582-9086-a64419d8a6cc · outbound

This paper cites The additivity of the ρ-invariant and periodicity in topological surgery.

On the relative $L$-theory and the relative signature of PL manifolds with boundary The additivity of the ρ-invariant and periodicity in topological surgery

Reference 5

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Observation 0ed0fee8-57b3-41b1-a3dc-3ce66a3334e5 · outbound

This paper cites Deeley and Magnus Goffeng.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Deeley and Magnus Goffeng

Reference 6

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Observation dff64b99-d1ae-425b-9be6-372ae3654c4e · outbound

This paper cites Relative geometric assembly and mapping cones, Part I: The geometric model and applications.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Relative geometric assembly and mapping cones, Part I: The geometric model and applications

Reference 7

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local_arxiv, observed 2026-08-14T12:51:11.752332Z

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Observation 7cb0f886-bf0d-4d01-8a0a-50c515c739e0 · outbound

This paper cites Ferry and Erik K.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Ferry and Erik K

Reference 8

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Observation d2175360-f0e2-4982-afce-7ddad845e2e8 · outbound

This paper cites Mapping surgery to analysis.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Mapping surgery to analysis

Reference 9

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source=pdf_text observed=2026-08-14T12:51:11.620290Z digest=sha256:ecf42a0290d6ffd827dbba00ec3c2f5b38098c9e87eaa0365b160cf4124bb0b5

Observation a5b2ba85-0acf-4fe4-9509-34b8e20e49fc · outbound

This paper cites Mapping surgery to analysis.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Mapping surgery to analysis

Reference 10

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Observation 60f3330e-8a09-4147-9a8b-30f552e2dbfb · outbound

This paper cites Mapping surgery to analysis.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Mapping surgery to analysis

Reference 11

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Observation 28518757-fe79-441d-8c83-262970ed43a9 · outbound

This paper cites On Siebenmann periodicity.

On the relative $L$-theory and the relative signature of PL manifolds with boundary On Siebenmann periodicity

Reference 12

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1a44f384-3410-4881-b89a-cc85b4d5cb08 · outbound

This paper cites Higher eta-invariants.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Higher eta-invariants

Reference 13

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Observation ca35240b-3c71-46a0-8a16-a2dd3d1a6035 · outbound

This paper cites an unresolved cited work.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Unresolved cited work

Reference 14

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Observation 846c4141-0ee3-4c1b-a519-93bfbed4fca4 · outbound

This paper cites On quantitative ope ratorK-theory.

On the relative $L$-theory and the relative signature of PL manifolds with boundary On quantitative ope ratorK-theory

Reference 15

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Observation bfc3e98b-db41-4dc1-aef2-435eb5883d7f · outbound

This paper cites Stratified surgery and K-theory invariants of the signature operator.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Stratified surgery and K-theory invariants of the signature operator

Reference 16

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d2447469-d4ab-45e9-9a01-66d930109730 · outbound

This paper cites The surgery exact seque nce, K-theory and the signature operator.

On the relative $L$-theory and the relative signature of PL manifolds with boundary The surgery exact seque nce, K-theory and the signature operator

Reference 17

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Observation 62eb82c6-9b8f-48c1-953c-aee858735f7c · outbound

This paper cites B(TOPn)∗∗∗bt∗∗ and the surgery obstruction.

On the relative $L$-theory and the relative signature of PL manifolds with boundary B(TOPn)∗∗∗bt∗∗ and the surgery obstruction

Reference 18

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Observation 095b08a9-2877-47cb-a439-fb26911ef258 · outbound

This paper cites an unresolved cited work.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Unresolved cited work

Reference 19

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Observation 2c817a99-a833-45db-a06b-d6d4a4d5238c · outbound

This paper cites Coarse cohomology and index theory on complet e Riemannian manifolds.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Coarse cohomology and index theory on complet e Riemannian manifolds

Reference 20

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Observation 9fe17bd3-9fb3-40de-b81c-f1d51c54fe38 · outbound

This paper cites Periodicity in topological sur gery.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Periodicity in topological sur gery

Reference 21

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Observation 0b5c783a-8172-4b5e-9265-f3a03046216b · outbound

This paper cites The strong Novikov conjecture.

On the relative $L$-theory and the relative signature of PL manifolds with boundary The strong Novikov conjecture

Reference 22

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Observation 611cba1c-9387-4add-905c-a55cc2f4eb05 · outbound

This paper cites The strong relative Novikov conjecture and g eometry of Banach spaces, preprint, 2019.

On the relative $L$-theory and the relative signature of PL manifolds with boundary The strong relative Novikov conjecture and g eometry of Banach spaces, preprint, 2019

Reference 23

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Observation dc138709-8eb6-4199-9c9d-e54572b9140b · outbound

This paper cites Naturality of split injectivity and the relative Novikov conjecture, preprint, 2019.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Naturality of split injectivity and the relative Novikov conjecture, preprint, 2019

Reference 24

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source=pdf_text observed=2026-08-14T12:51:11.669901Z digest=sha256:351ae1911f8d144307b51fc14cf875ea42ec2a38cac006c1e6319a73f24b2f7d

Observation 90afc725-a473-4a20-8e64-baee54104533 · outbound

This paper cites The relative B aum-Connes conjecture and relative Novikov conjecture, preprint, 201 9.

On the relative $L$-theory and the relative signature of PL manifolds with boundary The relative B aum-Connes conjecture and relative Novikov conjecture, preprint, 201 9

Reference 25

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Observation 8ad72404-add9-41aa-96e0-92c4df6665fb · outbound

This paper cites an unresolved cited work.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Unresolved cited work

Reference 26

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Observation 2cc0d2ac-2d99-4ddc-91c1-17ba1e3c9c8e · outbound

This paper cites Addi tivity of higher rho invariants and nonrigidity of topological manifolds.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Addi tivity of higher rho invariants and nonrigidity of topological manifolds

Reference 27

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Observation d9150695-b992-4f87-aa89-f6a1af20be2b · outbound

This paper cites L-groups of crystallographic groups.

On the relative $L$-theory and the relative signature of PL manifolds with boundary L-groups of crystallographic groups

Reference 28

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 36be9b23-1904-4264-81fe-2d57e050c163 · outbound

This paper cites Localization algebras and the coarse Baum -Connes conjec- ture.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Localization algebras and the coarse Baum -Connes conjec- ture

Reference 29

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raw_fallback, observed 2026-08-14T12:51:11.786096Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5e7686cf-c502-4c4e-b993-0d3de99f227d · outbound

This paper cites Mapping the surgery exact sequence for topological manifolds to analysis.

On the relative $L$-theory and the relative signature of PL manifolds with boundary Mapping the surgery exact sequence for topological manifolds to analysis

Reference 30

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raw_fallback, observed 2026-08-14T12:51:11.775397Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:11.693044Z digest=sha256:75446082cc8bbe5035b63cf510ea96548ed95d7d15ca807fb36e47729ae9f5da

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