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arXiv · 2010.07511

Deformations of lattice cohomology and the upsilon invariant

Antonio Alfieri
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Abstract

We introduce deformations of lattice cohomology corresponding to the knot homologies found by Ozsv\' ath, Stipsicz and Szab\' o in \cite{OSS4}. By means of holomorphic triangles counting, we prove equivalence with the analytic theory for a wide class of knots. This yields combinatorial formulae for the upsilon invariant.

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Antonio Alfieri. 2020-10-15. Deformations of lattice cohomology and the upsilon invariant. https://arxiv.org/abs/2010.07511

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