Grid invariants in universally tight lens spaces

Lev Tovstopyat-Nelip

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arXiv · 1809.07272

Grid invariants in universally tight lens spaces

Lev Tovstopyat-Nelip

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Abstract

We define combinatorial invariants of Legendrian and transverse links in universally tight lens spaces using grid diagrams, generalizing [OST08] and prove that they are equivalent to the invariants defined in [BVVV13] and [LOSS09]. We use these combinatorial invariants to characterize index one grid diagrams for knots in lens spaces which admit surgeries to the 3-sphere and discuss a potential application to the Berge conjecture.

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BibTeX RIS

Lev Tovstopyat-Nelip. 2018-09-19. Grid invariants in universally tight lens spaces. https://arxiv.org/abs/1809.07272

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