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

Celoria, D

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.

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Not published

Peer review status:

Not peer reviewed

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APA Style

Celoria, D. (2017). A note on Grid Homology in lens spaces: $\mathbb{Z}$ coefficients and computations. ArXiv.

MLA Style

Celoria, D. “A Note on Grid Homology in Lens Spaces: $\Mathbb{Z}$ Coefficients and Computations.” ArXiv, arXiv, 2017.

Chicago Style

Celoria, D. 2017. “A Note on Grid Homology in Lens Spaces: $\Mathbb{Z}$ Coefficients and Computations.” ArXiv.
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Department:

Oxford, MPLS, Mathematical Institute

Bibliographic Details

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

Item Description

Keywords:: math.GT

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License:: Terms and Conditions of Use for Oxford University Research Archive

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