Soulié, A. (2020) Some computations of stable twisted homology for mapping class groups. Communications in Algebra, 48(6), pp. 2467-2491. (doi: 10.1080/00927872.2020.1716981)
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Abstract
In this paper, we deal with stable homology computations with twisted coefficients for mapping class groups of surfaces and of 3-manifolds, automorphism groups of free groups with boundaries and automorphism groups of certain right-angled Artin groups. On the one hand, the computations are led using semidirect product structures arising naturally from these groups. On the other hand, we compute the stable homology with twisted coefficients by FI-modules. This notably uses a decomposition result of the stable homology with twisted coefficients for pre-braided monoidal categories proved in this paper.
Item Type: | Articles |
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Additional Information: | This work was partially supported by the ANR Project ChroK, ANR-16-CE40-0003 and by the JSPS Postdoctoral Fellowship Short Term PE17042. |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Soulie, Dr Arthur |
Authors: | Soulié, A. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Communications in Algebra |
Publisher: | Taylor & Francis |
ISSN: | 0092-7872 |
ISSN (Online): | 1532-4125 |
Published Online: | 26 January 2020 |
Copyright Holders: | Copyright © 2020 Taylor and Francis Group, LLC |
First Published: | First published in Communications in Algebra 48(6): 2467-2491 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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