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