0-Concordance of 2-knots

2019/07/15 by Sunukjian, Nathan · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1907.06524

Abstract

In this paper we investigate the 0-concordance classes of 2-knots in S⁴, 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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• Slice depth of 2-knots

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