Pith. sign in

REVIEW 2 cited by

Composition Maps in Heegaard Floer Homology

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 2301.08882 v2 pith:IFIAFWMG submitted 2023-01-21 math.GT

Jesse Cohen This is my paper · ORCID
classification math.GT
keywords floerheegaardarxivhomologycobordismcompositionmapsagrees
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We use results of Auroux arXiv:1001.4323 and Zemke arXiv:1801.09270 to prove that, in the morphism spaces formulation of Heegaard Floer homology given in arXiv:1005.1248, the opposite composition map agrees up to homotopy with the map on Heegaard Floer complexes induced by a pair-of-pants cobordism. As an application, we give an algorithm for computing arbitrary cobordism maps on hat Heegaard Floer homology.

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. Naturality in real Heegaard Floer theory

    math.GT 2026-07 conditional novelty 7.0 of 10

    Real Heegaard Floer homology becomes a natural functor on based real 3-manifolds, with an equivariant mapping class group action and a new involutive variant.

  2. Satellites and telescopes: a concordance formula for bordered Floer homology

    math.GT 2026-06 conditional novelty 7.0 of 10

    Locally symmetric endomorphisms of the knot Floer complex correspond, up to a canonical class theta^-_K, to type-D endomorphisms of the bordered complement, making satellite concordance maps combinatorially computable.

Pith tools