@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",

note = "Funding Information: Acknowledgment The second author would like to thank Tamas Hausel, Eugenie Hunsicker, and Rafe Mazzeo for very stimulating conversations. We also thank the referee for useful suggestions. During the preparation of this work, the first author was supported by NSF grant DMS 0105128, while the second author was supported by NSF grant DMS 0707000.",

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",

}