Pith. sign in

REVIEW 1 cited by

Quantitative PL bordism

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 2311.16389 v3 pith:G4HSGZHK submitted 2023-11-28 math.GT math.ATmath.MG

Fedor Manin , Shmuel Weinberger This is my paper · ORCID
classification math.GTmath.ATmath.MG
keywords bordismtheoriesboundedgeometryquantitativesimplicesboundcases
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We study PL bordism theories from a quantitative perspective. Such theories include those of PL manifolds, ordinary homology theory, as well as various more exotic theories such as bordism of Witt spaces. In all these cases we show that a null-bordant cycle of bounded geometry and $V$ simplices has a filling of bounded geometry whose number of simplices is slightly superlinear in $V$. This bound is similar to that found in our previous work on smooth cobordism.

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

  1. Minimal tetrahedra and an isoperimetric gap theorem in non-positive curvature

    math.MG 2025-02 accept novelty 8.0 of 10

    A proper CAT(0) space whose 2-sphere filling inequality has constant below 1/(6*sqrt(pi)) satisfies isoperimetric inequalities with exponent 1+delta for every delta>0, equivalent to asymptotic rank at most 2.

Pith tools