Transversely non simple knots

Abstract

By proving a connected sum formula for the Legendrian invariant ${\lambda }_{+}$ in knot Floer homology we exhibit infinitely many transversely non simple knots.

arXiv comment12 pages, 7 figures, Theorem 1.5 is revoked

References in corpus (1)

• Stabilization in the braid groups II: Transversal simplicity of knots

Cited by in corpus (5)

• On the equivalence of Legendrian and transverse invariants in knot Floer homology
• A family of transversely nonsimple knots
• On the equivalence of contact invariants in sutured Floer homology theories
• Comultiplication in link Floer homology and transversely non-simple links
• Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex