0-Concordance of 2-knots

Nathan Sunukjian

0-Concordance of 2-knots

Geometric Topology 2019-07-16 v1

Authors: Nathan Sunukjian

Abstract

In this paper we investigate the 0-concordance classes of 2-knots in $S^4$ , an equivalence relation that is related to understanding smooth structures on 4-manifolds. Using Rochlin's invariant, and invariants arising from Heegaard-Floer homology, we will prove that there are infinitely many 0-concordance classes of 2-knots.

Keywords

smooth 4-manifolds knot theory floer homology

Cite

@article{arxiv.1907.06524,
  title  = {0-Concordance of 2-knots},
  author = {Nathan Sunukjian},
  journal= {arXiv preprint arXiv:1907.06524},
  year   = {2019}
}

Comments

9 pages, 2 figures

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