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Signature homology
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Augusto Minatta
Published/Copyright:
May 4, 2006
Abstract
In this note we give a new construction of Signature homology, and we explain how to associate to any oriented manifold M a characteristic class in Sig* (M) which is an integral analog of the L-class. A connection with the Novikov conjecture is explained. Further applications are in the construction of a 2-local characteristic class in the singular cohomology of a topological manifold as well as in the determination of the homotopy type of G/Top.
Received: 2004-12-05
Revised: 2005-03-18
Published Online: 2006-05-04
Published in Print: 2006-03-24
© Walter de Gruyter
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- Almost isomorphism for countable state Markov shifts
- Inhomogeneous and Euclidean spectra of number fields with unit rank strictly greater than 1
- On the growth rate of the tunnel number of knots
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Articles in the same Issue
- Lines on projective hypersurfaces
- Almost isomorphism for countable state Markov shifts
- Inhomogeneous and Euclidean spectra of number fields with unit rank strictly greater than 1
- On the growth rate of the tunnel number of knots
- Signature homology
- On the structure of cofree Hopf algebras
- Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian
- κ-types and Γ-asymptotic expansions
