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

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 $\widehat{GH} (L(p,q),K;\mathbb{Z})$, and provide empirical evidence supporting the absence of torsion in these groups.
Publication status:
Not published
Peer review status:
Not peer reviewed

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Department:
Oxford, MPLS, Mathematical Institute
Journal:
arXiv
Publication date:
2017
Pubs id:
pubs:630094
URN:
uri:8c6b2a47-56d7-4429-beeb-7b6afdd0ac48
UUID:
uuid:8c6b2a47-56d7-4429-beeb-7b6afdd0ac48
Local pid:
pubs:630094
Keywords:

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