Modular Symbols and the Topological Nonrigidity of Arithmetic Manifolds |
| |
| Authors: | Stanley Chang Shmuel Weinberger |
| |
| Affiliation: | 1. Wellesley College, Wellesley, MA, USA;2. University of Chicago, Chicago, IL, USA |
| |
| Abstract: | In this paper we address the existence of smooth manifolds proper homotopy equivalent to nonuniform arithmetic manifolds M = ΓG/K that are not homeomorphic to it. While the manifolds M are properly rigid if rankℚ(Γ) ≤ 2, we show that the so‐called virtual structure group has infinite rank as a ℚ‐vector space if rankℚ(Γ) ≥ 4.© 2015 Wiley Periodicals, Inc. |
| |
| Keywords: | |
|
|
