منابع مشابه
Homology of the curve complex and the Steinberg module of the mapping class group
Harer has shown that the mapping class group is a virtual duality groupmirroring the work of Borel-Serre on arithmetic groups in semisimple Q-groups. Just as the homology of the rational Tits building provides the dualizing module for any torsion-free arithmetic group, the homology of the curve complex is the dualizingmodule for any torsion-free, finite index subgroup of the mapping class group...
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The curve graph (or curve complex) C(S) associated to a surface S of finite type is a locally infinite combinatorial object that encodes topological information about the surface through intersection patterns of simple closed curves. It is known to be δ-hyperbolic [5], a property that is often described by saying that a space is “coarsely a tree.” To be precise, there exists δ such that for any...
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Let S be a surface of genus g with n punctures, and assume 3g − 3 + n > 1. Associated to S is an object C(S) called the complex of curves, whose vertices are homotopy classes of nontrivial, nonperipheral simple closed curves. A k-simplex of C(S) is a collection of k + 1 disjoint nonperipheral homotopically distinct simple closed curves. The dimension of the complex is 3g − 4 + n. We are interes...
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ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2012
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2012.22017