On the relative slice Thurston-Bennequin inequality
Georgi D. Gospodinov
TL;DR
This paper introduces a relative version of the slicing Bennequin inequalities for cobordant Legendrian knots, expanding the theoretical framework in contact topology.
Contribution
It derives a new relative inequality for Legendrian knots and reviews multiple proofs, enhancing understanding of Legendrian knot invariants.
Findings
Establishment of a relative slicing Bennequin inequality
Comparison of different proof techniques
Implications for Legendrian knot theory
Abstract
We derive a relative version of the slicing Bennequin inequalities for cobordant Legendrian knots, and review a few proofs of the result.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Connective tissue disorders research