Transversely nonsimple knots

Vértesi, Vera

doi:10.2140/agt.2008.8.1481

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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

Volume 8, issue 3 (2008)