TL;DR
This paper proves a connected sum formula for a Legendrian invariant in knot Floer homology, demonstrating the existence of infinitely many transversely non-simple knots.
Contribution
It introduces a connected sum formula for the Legendrian invariant in knot Floer homology, revealing new examples of transversely non-simple knots.
Findings
Infinitely many transversely non-simple knots identified
Connected sum formula for established in knot Floer homology
Enhanced understanding of Legendrian invariants in knot theory
Abstract
By proving a connected sum formula for the Legendrian invariant in knot Floer homology we exhibit infinitely many transversely non simple knots.
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