## Abstract

We study from a mostly topological standpoint the L^{2}-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 L^{2}-cohomology of certain noncompact hyperkähler manifolds that admit geometrically fibered end structures.

Original language | English (US) |
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Title of host publication | Progress in Mathematics |

Publisher | Springer Basel |

Pages | 1-24 |

Number of pages | 24 |

DOIs | |

State | Published - 2009 |

### Publication series

Name | Progress in Mathematics |
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Volume | 271 |

ISSN (Print) | 0743-1643 |

ISSN (Electronic) | 2296-505X |

## ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Geometry and Topology

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