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1 results

A note on grid homology in lens spaces: $\mathbb{Z}$ coefficients and computations
Daniele Celoria
Journal:

Glasgow Mathematical Journal / Volume 65 / Issue 2 / May 2023

Published online by Cambridge University Press:

31 March 2023, pp. 457-479

Print publication:

May 2023
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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 programme that computes $\widehat{\mathrm{GH}} (L(p,q),K;\mathbb{Z})$ and provide empirical evidence supporting the absence of torsion in these groups.