English

On grid homology for lens space links: combinatorial invariance and integral coefficients

Geometric Topology 2021-10-05 v1

Abstract

Following the approach to grid homology of links in S3S^3, we prove combinatorially that the grid homology of links in lens spaces defined by Baker, Grigsby, and Hedden is a link invariant. Further, using the sign assignment defined by Celoria, we prove that the generalization of grid homology to integral coefficients is a link invariant.

Keywords

Cite

@article{arxiv.2110.00663,
  title  = {On grid homology for lens space links: combinatorial invariance and integral coefficients},
  author = {Samuel Tripp},
  journal= {arXiv preprint arXiv:2110.00663},
  year   = {2021}
}

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41 pages