Bestvina--Feighn proved that $\text{Aut}(F_n)$ is a rational duality group, i.e. there is a $\mathbb{Q}[\text{Aut}(F_n)]$-module, called the rational dualizing module, and a form of Poincar\'e duality relating the rational cohomology of $\text{Aut}(F_n)$ to its homology with coefficients in this module. Bestvina--Feighn's proof does not give an explicit combinatorial description of the rational dualizing module of $\text{Aut}(F_n)$. But, inspired by Borel--Serre's description of the rational dualizing module of arithmetic groups, Hatcher--Vogtmann constructed an analogous module for Aut(F_n) and asked if it is the rational dualizing module. In work with Miller, Nariman, and Putman, we show that Hatcher--Vogtmann's module is not the rational dualizing module.
De Mehmet Haluk Sengun
De Mehmet Haluk Sengun
De Aurel Page
De Alexander Hulpke
De Alexander Hulpke
De Alexander Hulpke
De Paul Gunnells
De Aurel Page
De Peter Patzt
De Peter Patzt
De Peter Patzt
De Jennifer Wilson
De Jennifer Wilson
De Jennifer Wilson
De Haowen Zhang
De Renaud Coulangeon
De Renaud Coulangeon
De Bill Allombert
De Lewis Combes
De Alexander Hulpke
De Alexander Hulpke
De Paul Gunnells
De Paul Gunnells
De Paul Gunnells
De Paul Gunnells
De Graham Ellis
De Graham Ellis
De Graham Ellis
De Graham Ellis
De Graham Ellis
De Philippe Elbaz-Vincent
De Philippe Elbaz-Vincent
De Philippe Elbaz-Vincent
De Bettina Eick
De Petru Constantinescu
De Angelica Babei
De Alexander, D. Rahm
De Benjamin Brück
De Calista Bernard
De Philippe Elbaz-Vincent
De Bettina Eick
De Bettina Eick
De Bettina Eick
De Bettina Eick
De Herbert Gangl
De Zachary Himes
