Pith. sign in

REVIEW 2 cited by

Topological Frobenius algebras

Not yet reviewed by Pith; the record is open.

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 2209.02979 v2 pith:KJTRLDVT submitted 2022-09-07 math.SG math.ATmath.RA

classification math.SGmath.ATmath.RA
keywords homologyspacesvectorbialgebrasdefinedimensionaltopologicalalgebraic
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We define the notions of unital/counital/biunital infinitesimal anti-symmetric bialgebras and coFrobenius bialgebras and discuss their algebraic properties. We also define the notion of a graded 2D open-closed TQFT. These structures arise in Rabinowitz Floer homology, loop space homology, quantum homology, and the homology of finite dimensional manifolds. The underlying vector spaces, which are typically infinite dimensional, belong to a class of topological vector spaces known as Tate vector spaces.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Resonances and string point invertibility for compact rank one symmetric spaces

    math.SG 2026-08 conditional novelty 7.0 of 10

    For compact rank one symmetric spaces, string point invertibility over a field of characteristic p holds exactly when p equals the Euler characteristic, and the same condition yields uniform resonance bounds on critic...

  2. Graded Frobenius Algebras

    math.AT 2024-12 accept novelty 6.0 of 10

    Graded Frobenius algebras are defined via a graph-based PROP, and an equivalence with explicit map-and-relation descriptions, including all required signs, is proved.

Pith tools