Arithmeticity and geometrical commensurators

2024/12/10 by Hao, Yanlong
#20F65 #37D40 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2412.07614

Abstract

This paper aims to characterize rank-one arithmetic and locally symmetric metrics in the coarsely geometric setting using coarse-geometric commensurators. We provide a positive answer in general under the Hilbert-Smith conjecture and unconditionally for finite volume negatively curved manifolds with finitely many cusps.

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