Geodesic
A note on grid homology in lens spaces: $\mathbb{Z}$ coefficients and computations
Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 457-479

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DOI

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.
DOI : 10.1017/S0017089523000058
Mots-clés : Heegaard-Floer homology, combinatorics, algebraic topology 
Celoria, Daniele. A note on grid homology in lens spaces: $\mathbb{Z}$ coefficients and computations. Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 457-479. doi: 10.1017/S0017089523000058
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     title = {A note on grid homology in lens spaces: $\mathbb{Z}$ coefficients and computations},
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     year = {2023},
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