English

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

Geometric Topology 2023-01-26 v1

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

Keywords

Cite

@article{arxiv.1910.07886,
  title  = {Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex},
  author = {Apratim Chakraborty},
  journal= {arXiv preprint arXiv:1910.07886},
  year   = {2023}
}

Comments

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