The Free Factor Complex and the Dualizing Module for the Automorphism Group of a Free Group-Reference-Cited by-同舟云学术

The Free Factor Complex and the Dualizing Module for the Automorphism Group of a Free Group

Published:2022-12-22 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Himes Zachary¹,Miller Jeremy¹,Nariman Sam¹,Putman Andrew²

Affiliation:

1. Department of Mathematics , Purdue University, 150 N. University Street; West Lafayette, IN 47907, USA

2. Department of Mathematics , University of Notre Dame, 255 Hurley Hall, Notre Dame, IN 46556, USA

Abstract

Abstract Answering a question of Hatcher and Vogtmann, we prove that the top homology group of the free factor complex is not the dualizing module for $\operatorname {Aut}(F_{n})$, at least for $n = 5$.

Funder

NSF

Simons Foundation Collaboration grant

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnac330/48344099/rnac330.pdf

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