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Combinatorial knot contact homology and transverse knots
We give a combinatorial treatment of transverse homology, a new invariant of
transverse knots that is an extension of knot contact homology. The theory
comes in several flavors, including one that is an invariant of topological
knots and produces a three-variable knot polynomial related to the
A-polynomial. We provide a number of computations of transverse homology that
demonstrate its effectiveness in distinguishing transverse knots, including
knots that cannot be distinguished by the Heegaard Floer transverse invariants
or other previous invariants.Comment: v2: 34 pages, minor corrections suggested by refere
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