Volume 8, issue 3 (2008)

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Transversely nonsimple knots

Vera Vértesi

Algebraic & Geometric Topology 8 (2008) 1481–1498
Abstract

By proving a connected sum formula for the Legendrian invariant ${\lambda }_{+}$ 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