Legendrian knots, transverse knots and combinatorial Floer homology
Abstract
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- November 2006
- DOI:
- arXiv:
- arXiv:math/0611841
- Bibcode:
- 2006math.....11841O
- Keywords:
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- Mathematics - Geometric Topology;
- Mathematics - Symplectic Geometry;
- 57R17 (Primary) 57R58;
- 57M25 (Secondary)
- E-Print:
- 27 pages, 13 figures