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arXiv · 1907.06524

0-Concordance of 2-knots

Nathan Sunukjian
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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.

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Nathan Sunukjian. 2019-07-15. 0-Concordance of 2-knots. https://arxiv.org/abs/1907.06524

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