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0-Concordance of 2-knots
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-02-04 , DOI: 10.1090/proc/15198
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.


中文翻译:

2结的0一致性

摘要:在本文中,我们研究2结中的0一致类$ S ^ 4 $,其等价关系与理解4流形上的光滑结构有关。使用Rochlin不变式和Heegaard-Floer同源性产生的不变式,我们将证明存在无限多个2结的0一致性类。
更新日期:2021-04-12
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