Institute for Mathematical Sciences
A. Connes, D. Sullivan, N. Teleman
Quasiconformal mappings, operators on Hilbert space, and local formulae for characteristic classes
Abstract: Local formulae are given for the characteristic classes of a quasiconformal manifold using the subspace of exact forms in the Hilbert space of middle dimensional forms. The method applies to combinatorial manifolds and all topological manifolds except certain ones in dimension four.
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