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arXiv · 1503.06120

Remarks on Legendrian Self-Linking

Chris Beasley·Brendan McLellan·Ruoran Zhang
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Abstract

The Thurston-Bennequin invariant provides one notion of self-linking for any homologically-trivial Legendrian curve in a contact three-manifold. Here we discuss related analytic notions of self-linking for Legendrian knots in Euclidean space. Our definition is based upon a reformulation of the elementary Gauss linking integral and is motivated by ideas from supersymmetric gauge theory. We recover the Thurston-Bennequin invariant as a special case.

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Chris Beasley, Brendan McLellan, Ruoran Zhang. 2018-08-20. Remarks on Legendrian Self-Linking. https://doi.org/10.1063/1.5006069

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