Year: 2024
Type: article
Abstract: The main theorem is a classification of smooth actions of SL(n,R), n≥3, or connected groups locally isomorphic to it, on closed n-manifolds, extending a theorem of Uchida. We also construct new exotic actions of SL(n,Z) on the n-torus and connected sums of n-tori, and we formulate a conjectural classification of actions of lattices in SL(n,R) on closed n-manifolds. We prove some related results about invariant rigid geometric structures for SL(n,R)-actions.
Source: Kyoto journal of mathematics
Authors: David Fisher, Karin Melnick
Institutions: Rice University, University of Luxembourg
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4401344695