A combinatorial proof of invariance of double-point enhanced grid homology

Timothy Ratigan; Joshua Wang; Luya Wang

doi:10.1142/S0218216525500543

A combinatorial proof of invariance of double-point enhanced grid homology

Timothy Ratigan
, Joshua Wang
, Luya Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the “minus” version of Lipshitz’s double-point enhanced grid homology is a knot invariant through purely combinatorial means.

Original language	English (US)
Article number	2550054
Journal	Journal of Knot Theory and its Ramifications
Volume	34
Issue number	11
DOIs	https://doi.org/10.1142/S0218216525500543
State	Published - Oct 15 2025

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

Keywords

Combinatorial knot Floer homology
Heegaard Floer homology
knot invariant

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10.1142/S0218216525500543

Cite this

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title = "A combinatorial proof of invariance of double-point enhanced grid homology",

abstract = "We prove that the “minus” version of Lipshitz{\textquoteright}s double-point enhanced grid homology is a knot invariant through purely combinatorial means.",

keywords = "Combinatorial knot Floer homology, Heegaard Floer homology, knot invariant",

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KW - Combinatorial knot Floer homology

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A combinatorial proof of invariance of double-point enhanced grid homology

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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