Year: 1991
Type: article
Abstract: Let $\Gamma = {\mathbf {SL}}(n,\mathbb {Z})$ or any subgroup of finite index. Then the action of $\Gamma$ on ${\mathbb {T}^n}$ by automorphisms is infinitesimally rigid for $n \ge 7$, i.e., the cohomology ${\text {H}^1}(\Gamma ,\operatorname {Vec} ({\mathbb {T}^n})) = 0$, where $\operatorname {Vec} ({\mathbb {T}^n})$ denotes the module of ${C^\infty }$ vector fields on ${\mathbb {T}^n}$.
Author: James W. Lewis
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1567483619