Bennequin type inequalities in lens spaces

TL;DR

This paper establishes criteria for link invariants in lens spaces to bound self-linking numbers and extends classical inequalities to this setting, enhancing understanding of contact topology in lens spaces.

Contribution

It introduces new criteria for invariants in lens spaces and generalizes the Franks-Williams-Morton inequality to these manifolds.

Findings

Criteria for invariants bounding self-linking numbers in lens spaces

Extension of the Franks-Williams-Morton inequality to lens spaces

Enhanced understanding of contact topology in lens spaces

Abstract

We give criteria for an invariant of lens space links to bound the maximal self-linking number in certain tight contact lens spaces. As a corollary we extend the Franks-Williams-Morton inequality to the setting of lens spaces.