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Research talks;Topology

An oriented manifold possesses an L-homology fundamental class which is an integral refinement of its Hirzebruch L-class and assembles to the symmetric signature. In joint work with Gerd Laures and James McClure, we give a construction of such an L-homology fundamental class for those oriented singular spaces, which are integral intersection homology Poincaré spaces. Our approach constructs a morphism of ad theories from intersection Poincaré bordism to L-theory. We shall indicate an application to the stratified Novikov conjecture. The latter has been treated analytically by Albin, Leichtnam, Mazzeo and Piazza. An oriented manifold possesses an L-homology fundamental class which is an integral refinement of its Hirzebruch L-class and assembles to the symmetric signature. In joint work with Gerd Laures and James McClure, we give a construction of such an L-homology fundamental class for those oriented singular spaces, which are integral intersection homology Poincaré spaces. Our approach constructs a morphism of ad theories from intersection Poincaré ...

55N33 ; 57R67 ; 57R20 ; 57N80 ; 19G24

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- 174 p.
ISBN 978-0-521-43801-8

London mathematical society lecture note series , 0178

Localisation : Collection 1er étage

k-théorie # l-théorie

19-02 ; 19G24

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- 199 p.
ISBN 978-3-7643-8709-9

Progress in mathematics , 0267

Localisation : Collection 1er étage

suites de Sturm # indice de Maslov # périodicité de Bott # homologie # homotopie # L-théorie # K-théorie hermitienne # extension centrale

55R45 ; 19G38 ; 19G24 ; 19C09

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