Abstract
Let G be a compact semisimple linear Lie group. We study the action of Aut (Fr) on the space H∗(Gr; Q). We compute the image of this representation and prove that it only depends on the rank of g. We show that the kernel of this representation is always the Torrelli subgroup IA r of Aut (Fr).
Original language | English |
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Pages (from-to) | 199-206 |
Number of pages | 8 |
Journal | Geometriae Dedicata |
Volume | 209 |
Issue number | 1 |
DOIs | |
State | Published - 1 Dec 2020 |
Bibliographical note
Publisher Copyright:© 2020, Springer Nature B.V.
Keywords
- Automorphism groups
- Homology
- Representation varieties
- Torelli group
ASJC Scopus subject areas
- Geometry and Topology