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

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

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-06-13
DOI
https://doi.org/10.1142/s0218216525500543
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
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article

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

Luya Wang, Timothy Ratigan, Joshua Wang
Journal of Knot Theory and Its Ramifications
Geometric and Algebraic Topology
article

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

Luya Wang, Timothy Ratigan, Joshua Wang
article en

Abstract

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

Journal of Knot Theory and Its RamificationsVol. 34(11)
Princeton University (US), Institute for Advanced Study (US)
Openalex Percentile: Top 100%
Geometric and Algebraic Topology
DOISourceOpenAlex
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A combinatorial proof of invariance of double-point enhanced grid homology — Luya Wang, Timothy Ratigan, et al. · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS