接触柄，对偶性和缝合花同源性

IF 2 1区数学

Geometry & Topology Pub Date : 2018-03-12 DOI:10.2140/gt.2020.24.179

Andr'as Juh'asz, Ian Zemke

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引用次数: 25

摘要

我们给出了一个明确的结构本田-Kazez- Mati 'c胶地图的接触手柄。我们用它证明了一个对偶的结果，使一个缝合流形的协数转过来，并计算了缝合的Floer TQFT中的迹线。我们还证明了由第一作者通过缝合流形配合定义和第二作者通过初等配合定义的修饰连杆配合映射在连杆Floer同调的那个版本上是一致的。

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Contact handles, duality, and sutured Floer homology

We give an explicit construction of the Honda--Kazez--Mati\'c gluing maps in terms of contact handles. We use this to prove a duality result for turning a sutured manifold cobordism around, and to compute the trace in the sutured Floer TQFT. We also show that the decorated link cobordism maps on the hat version of link Floer homology defined by the first author via sutured manifold cobordisms and by the second author via elementary cobordisms agree.

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来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

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.