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2018 The homology of configuration spaces of trees with loops
Safia Chettih, Daniel Lütgehetmann
Algebr. Geom. Topol. 18(4): 2443-2469 (2018). DOI: 10.2140/agt.2018.18.2443

Abstract

We show that the homology of ordered configuration spaces of finite trees with loops is torsion-free. We introduce configuration spaces with sinks, which allow for taking quotients of the base space. Furthermore, we give a concrete generating set for all homology groups of configuration spaces of trees with loops and the first homology group of configuration spaces of general finite graphs. An important technique in the paper is the identification of the E 1 –page and differentials of Mayer–Vietoris spectral sequences for configuration spaces.

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Safia Chettih. Daniel Lütgehetmann. "The homology of configuration spaces of trees with loops." Algebr. Geom. Topol. 18 (4) 2443 - 2469, 2018. https://doi.org/10.2140/agt.2018.18.2443

Information

Received: 26 July 2017; Revised: 26 November 2017; Accepted: 24 January 2018; Published: 2018
First available in Project Euclid: 3 May 2018

zbMATH: 06867663
MathSciNet: MR3797072
Digital Object Identifier: 10.2140/agt.2018.18.2443

Subjects:
Primary: 55R80
Secondary: 57M15

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 4 • 2018
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