ON THE COHOMOLOGY OF TORELLI GROUPS
Copyright policy )ON THE COHOMOLOGY OF TORELLI GROUPS
We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds$\#^{g}S^{n}\times S^{n}$relative to a disc in a stable range, for$2n\geqslant 6$. Our calculation is also valid for$2n=2$assuming that the rational cohomology groups of these Torelli groups are finite-dimensional in a stable range.
- Harvard University United States
- THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE United Kingdom
- KOBENHAVNS UNIVERSITET Denmark
- University of Cambridge United Kingdom
Cohomology of arithmetic groups, Representation theory for linear algebraic groups, math.AT, 18D10, rational cohomology, 55R40, 11F75, 57S05, 18D10, 20G05, fibration, Serre spectral sequence, QA1-939, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 20G05, Topological properties of groups of homeomorphisms or diffeomorphisms, representation theory, mapping class group, 11F75, Homology of classifying spaces and characteristic classes in algebraic topology, 55R40, Torelli groups, diffeomorphism group, 57S05, Mathematics
Cohomology of arithmetic groups, Representation theory for linear algebraic groups, math.AT, 18D10, rational cohomology, 55R40, 11F75, 57S05, 18D10, 20G05, fibration, Serre spectral sequence, QA1-939, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 20G05, Topological properties of groups of homeomorphisms or diffeomorphisms, representation theory, mapping class group, 11F75, Homology of classifying spaces and characteristic classes in algebraic topology, 55R40, Torelli groups, diffeomorphism group, 57S05, Mathematics
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