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

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 $\hat{\theta }$. We also study the relationship of this invariant with transverse and braid monodromy properties.

arXiv admin note: text overlap with arXiv:1903.05893, arXiv:1305.2562 by other authors

References in corpus (4)

• Notes on the knot concordance invariant Upsilon
• The concordance invariant tau in link grid homology
• An annular refinement of the transverse element in Khovanov homology
• Annular link invariants from the Sarkar-Seed-Szabó spectral sequence