Legendrian contact homology and nondestabilizability
Clayton Shonkwiler, David Shea Vela-Vick
TL;DR
This paper presents the first example of a Legendrian knot with nonvanishing contact homology that does not have the maximal Thurston-Bennequin invariant, challenging previous assumptions.
Contribution
It introduces a novel example of a Legendrian knot with nonvanishing contact homology and non-maximal Thurston-Bennequin invariant.
Findings
First such example discovered
Contact homology can be nonzero without maximal Thurston-Bennequin invariant
Challenges existing beliefs about Legendrian knot invariants
Abstract
We provide the first example of a Legendrian knot with nonvanishing contact homology whose Thurston-Bennequin invariant is not maximal.
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