Computing Euler characteristics using quantum field theory
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910915675291648 |
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| author | Borinsky, Michael Vogtmann, Karen |
| author_facet | Borinsky, Michael Vogtmann, Karen |
| contents | This paper explains how to use quantum field theory techniques to find formal power series that encode the virtual Euler characteristics of $\mathrm{Out}(F_n)$ and related graph complexes. Finding such power series was a necessary step in the asymptotic analysis of $χ(\mathrm{Out}(F_n))$ carried out in the authors' previous paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_08739 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Computing Euler characteristics using quantum field theory Borinsky, Michael Vogtmann, Karen Group Theory High Energy Physics - Theory Mathematical Physics Combinatorics 20F65 (Primary) 18G85, 20E36, 05C30 (Secondary) This paper explains how to use quantum field theory techniques to find formal power series that encode the virtual Euler characteristics of $\mathrm{Out}(F_n)$ and related graph complexes. Finding such power series was a necessary step in the asymptotic analysis of $χ(\mathrm{Out}(F_n))$ carried out in the authors' previous paper. |
| title | Computing Euler characteristics using quantum field theory |
| topic | Group Theory High Energy Physics - Theory Mathematical Physics Combinatorics 20F65 (Primary) 18G85, 20E36, 05C30 (Secondary) |
| url | https://arxiv.org/abs/2202.08739 |