Homology and Euler characteristic of generalized anchored configuration spaces of graphs

被引：0

作者：

Kozlov D.N. ^{[1
,2
]}

机构：

[1] Department of Mathematics, University of Bremen, Bremen

[2] Okinawa Institute of Science and Technology Graduate University, 1919-1 Tancha, Onna-son, Kunigami-gun, Okinawa

来源：

Journal of Applied and Computational Topology | 2024年 / 8卷 / 4期

关键词：

05E45; Applied topology; Chain complexes; Configuration spaces; Graphs; Primary; 55U05; Secondary; 57Z25; Topological combinatorics;

D O I：

10.1007/s41468-024-00167-8

中图分类号：

学科分类号：

摘要：

In this paper we consider the generalized anchored configuration spaces on n labeled points on a graph. These are the spaces of all configurations of n points on a fixed graph G, subject to the condition that at least q vertices in some pre-determined set K of vertices of G are included in each configuration. We give a non-alternating formula for the Euler characteristic of such spaces for arbitrary connected graphs, which are not trees. Furthermore, we completely determine the homology groups of the generalized anchored configuration spaces of n points on a circle graph. © The Author(s) 2024.

引用

页码：1053 / 1067

页数：14

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