Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex

Article Type

Research Article

Publication Title

Journal of Knot Theory and its Ramifications

Abstract

We define an annular concordance invariant and study its properties. When specialized to braids, this invariant gives bounds on band rank. We introduce a modified chain complex to reformulate the invariant. Then, by focusing on a special case, we give a refinement of the transverse invariant. We also study the relationship of this invariant with transverse and braid monodromy properties.

DOI

10.1142/S0218216522500791

Publication Date

10-1-2022

Comments

Open Access, Green

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