L-cohomology of Spaces with Non-isolated Conical Singularities and Non-multiplicativity of the Signature
نویسندگان
چکیده
We study from a mostly topological standpoint, the L-signature of certain spaces with non-isolated conical singularities. The contribution from the singularities is identified with a topological invariant of the link fibration of the singularities. This invariant measures the failure of the signature to behave multiplicatively for fibrations for which the boundary of the fibre in nonempty. The result extends easily to cusp singularities and can be used to compute the L cohomology of certain noncompact hyper-kähler manifolds which admit geometrically fibered end structures.
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