More concordance homomorphisms from knot Floer homology

IF 2 1区数学 Geometry & Topology Pub Date : 2019-02-09 DOI:10.2140/gt.2021.25.275

Irving Dai, Jennifer Hom, Matthew Stoffregen, L. Truong

引用次数: 41

Abstract

We define an infinite family of linearly independent, integer-valued smooth concordance homomorphisms. Our homomorphisms are explicitly computable and rely on local equivalence classes of knot Floer complexes over the ring $\mathbb{F}[U, V]/(UV=0)$. We compare our invariants to other concordance homomorphisms coming from knot Floer homology, and discuss applications to topologically slice knots, concordance genus, and concordance unknotting number.

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结花同态的更多一致性同态

我们定义了一个无限族的线性无关的整数值光滑调和同态。我们的同态是显式可计算的，并且依赖于环$\mathbb{F}[U, V]/(UV=0)$上的结花复合体的局部等价类。我们比较了我们的不变量与其他来自结花同源的一致性同态，并讨论了拓扑切片结、一致性属和一致性解结数的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Geometry & Topology 数学-数学

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5.00%

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期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.

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