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Computing Euler characteristics using quantum field theory
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Borinsky, Michael and Vogtmann, Karen (2022) Computing Euler characteristics using quantum field theory. In: Artin Groups, CAT(0) geometry and related topics, Online and Columbus, OH, USA, 05-09 Jul 2021. Published in: Séminaires et Congrès de la Société Mathématique de France pp. 1-13.
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Abstract
This paper explains how to use quantum field theory techniques to find formal power series that encode the virtual Euler characteristics of Out(Fn) and related graph complexes. Finding such power series was a necessary step in the asymptotic analysis of χ(Out(Fn)) carried out in the authors’ previous paper.
Item Type: | Conference Item (Paper) | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Graph theory, Euler characteristic, Quantum field theory, Finite groups, Homology theory | ||||||
Journal or Publication Title: | Séminaires et Congrès de la Société Mathématique de France | ||||||
Publisher: | Société Mathématique de France | ||||||
Official Date: | 17 February 2022 | ||||||
Dates: |
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Page Range: | pp. 1-13 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 21 June 2022 | ||||||
Date of first compliant Open Access: | 21 December 2023 | ||||||
Conference Paper Type: | Paper | ||||||
Title of Event: | Artin Groups, CAT(0) geometry and related topics | ||||||
Type of Event: | Other | ||||||
Location of Event: | Online and Columbus, OH, USA | ||||||
Date(s) of Event: | 05-09 Jul 2021 | ||||||
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Open Access Version: |
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