@inbook{b341d9326bdc4f44a1e7666f5a9dfaa7,

title = "L2-cohomology of spaces with nonisolated conical singularities and nonmultiplicativity of the signature",

abstract = "We study from a mostly topological standpoint the L2-signature of certain spaces with nonisolated 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 fiber is nonempty. The result extends easily to cusp singularities and can be used to compute the L2-cohomology of certain noncompact hyperk{\"a}hler manifolds that admit geometrically fibered end structures.",

author = "Jeff Cheeger and Xianzhe Dai",

year = "2009",

doi = "10.1007/978-0-8176-4743-8_1",

language = "English (US)",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "1--24",

booktitle = "Progress in Mathematics",

}