0-Concordance of 2-knots

Sunukjian, Nathan

doi:10.1090/proc/15198

0-Concordance of 2-knots
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Proc. Amer. Math. Soc. 149 (2021), 1747-1755 Request permission

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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