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Transversal Index and L2-index for Manifolds with Boundary

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Metric and Differential Geometry

Part of the book series: Progress in Mathematics ((PM,volume 297))

Abstract

For manifolds with boundary, we present a self-contained proof of Braverman’s result which gives an alternative interpretation of the transversal index through certain kind of L2-indices.

Mathematics Subject Classification (2000). Primary 58J20; Secondary 53D50.

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Author information

Authors and Affiliations

  1. Université Paris Diderot – Paris 7, UFR de Mathématiques, Case 7012, Site Chevaleret, Paris Cedex 13, F-75205, France

    Xiaonan Ma

  2. Chern Institute of Mathematics & LPMC, Nankai University, Tianjin, 300071, P.R. China

    Weiping Zhang

Authors
  1. Xiaonan Ma
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  2. Weiping Zhang
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Corresponding author

Correspondence to Xiaonan Ma .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of California, South Hall 6511, Santa Barbara, 93106, New Jersey, USA

    Xianzhe Dai

  2. , Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, 08854, New Jersey, USA

    Xiaochun Rong

Additional information

Dedicated to Jeff Cheeger for his 65th birthday

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Ma, X., Zhang, W. (2012). Transversal Index and L2-index for Manifolds with Boundary. In: Dai, X., Rong, X. (eds) Metric and Differential Geometry. Progress in Mathematics, vol 297. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0257-4_10

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