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Transversely nonsimple knots

Vera Vértesi
Algebraic & Geometric Topology 8 (2008) 1481–1498
DOI: 10.2140/agt.2008.8.1481
Abstract

By proving a connected sum formula for the Legendrian invariant λ+ in knot Floer homology, we exhibit infinitely many transversely nonsimple knot types.

Keywords
contact structure, Legendrian knot, transverse knot, Heegaard Floer homology, contact invariant
Mathematical Subject Classification 2000
Primary: 57M27, 57M25, 57R17
Secondary: 57R58
References
Publication
Received: 17 December 2007
Revised: 14 April 2008
Accepted: 18 June 2008
Published: 5 September 2008
Authors
Vera Vértesi
Institute of Mathematics
Eötvös Loránd University
Pázmány Péter sétány 1/c.
H-1117, Budapest
Hungary
http://www.szit.bme.hu/~wera