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arXiv · 1910.07886

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

Apratim Chakraborty
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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.

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Apratim Chakraborty. 2019-10-16. Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex. https://doi.org/10.1142/s0218216522500791

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