Euclidean 4-simplices and invariants of four-dimensional manifolds: I. Moves 3 -> 3

Igor G. Korepanov

Euclidean 4-simplices and invariants of four-dimensional manifolds: I. Moves 3 -> 3

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/0211165 v1 pith:XC6UVQYX submitted 2002-11-11 math.GT gr-qc

Igor G. Korepanov This is my paper · ORCID

classification math.GTgr-qc

keywords clustereuclideanfour-dimensionalhavinginvariantsmanifoldssamesimplices

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

We construct invariants of four-dimensional piecewise-linear manifolds, represented as simplicial complexes, with respect to rebuildings that transform a cluster of three 4-simplices having a common two-dimensional face in a different cluster of the same type and having the same boundary. Our construction is based on the usage of Euclidean geometric values.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Quantum geometry from higher gauge theory
gr-qc 2019-08 conditional novelty 7.0 of 10

The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.

Pith tools