A note on Grid Homology in lens spaces: $\mathbb{Z}$ coefficients and computations

Daniele Celoria

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arXiv · 1510.07141

A note on Grid Homology in lens spaces: $\mathbb{Z}$ coefficients and computations

Daniele Celoria

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Abstract

We present a combinatorial proof for the existence of the sign refined grid homology in lens spaces, and a self contained proof that $\partial_{\mathbb{Z}}^2 = 0$. We also present a Sage program that computes $\widehat{\mathrm{GH}} (L(p,q),K;\mathbb{Z})$, and provide empirical evidence supporting the absence of torsion in these groups.

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Daniele Celoria. 2015-10-24. A note on Grid Homology in lens spaces: $\mathbb{Z}$ coefficients and computations. https://arxiv.org/abs/1510.07141

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