Knot Floer Filtration Classes of Topologically Slice Knots

Joshua Tobin

Knot Floer Filtration Classes of Topologically Slice Knots

Geometric Topology 2013-09-10 v1

Authors: Joshua Tobin

Abstract

The knot Floer complex and the concordance invariant $\varepsilon$ can be used to define a filtration on the smooth concordance group. We exhibit an ordered subset of this filtration that is isomorphic to $\mathbb{N} \times \mathbb{N}$ and consists of topologically slice knots.

Keywords

knot Floer complex concordance invariant smooth concordance group topologically slice knots filtration low-dimensional topology

Cite

@article{arxiv.1309.1999,
  title  = {Knot Floer Filtration Classes of Topologically Slice Knots},
  author = {Joshua Tobin},
  journal= {arXiv preprint arXiv:1309.1999},
  year   = {2013}
}

Comments

22 pages, 1 figure

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