Legendrian knots, transverse knots and combinatorial Floer homology

Details Legendrian knots, transverse knots and combinatorial Floer homology Legendrian knots, transverse knots and combinatorial Floer homology

2006-11-27

arxiv.org/abs/math/0611841v2

Geometry and Topology, 12(2):941-980, 2008

Mathematics

Geometric Topology

27 pages, 13 figures; v2: Expand and correct discussion of links

Scientific paper

10.2140/gt.2008.12.941

Using the combinatorial approach to knot Floer homology, we define an
invariant for Legendrian knots in the three-sphere, which takes values in link
Floer homology. This invariant can be used to also construct an invariant of
transverse knots.

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