滤波网格同调中的交叉变换映射

IF 0.5 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-08-22 DOI:10.1016/j.topol.2025.109552

Matthew Kendall

引用次数: 0

摘要

我们将由Ozsváth-Szabó-Stipsicz定义的网格复合体之间的交叉变化映射扩展到过滤网格复合体，并给出了Alishahi-Eftekhary结不变量的组合公式。

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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Crossing change maps in filtered grid homology

We extend the crossing-change maps between grid complexes, defined by Ozsváth–Szabó–Stipsicz, to filtered grid complexes and give a combinatorial formulation of the Alishahi–Eftekhary knot invariant.

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.