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Non-commutative Ruelle-Sullivan type currents

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The Grothendieck Festschrift

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Abstract

We present here a simple direct construction which, under certain circumstances, produces a map \({H_*}(g,\;C) \to H_*^{cl}(M,\;C)\) if g is a Lie algebra which acts infinitesimally on the manifold M.

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Author information

Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, McAllister 305, University Park, PA, 16801, USA

    Jean-Luc Brylinski

Authors
  1. Jean-Luc Brylinski
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Editor information

Editors and Affiliations

  1. Institut des Hautes Études Scientifiques, F-91440, Bures-sur-Yvette, France

    Pierre Cartier

  2. Département de Mathématiques, Université de Paris-Sud, F-91405, Orsay, France

    Luc Illusie  & Gérard Laumon  & 

  3. Department Mathematics, Princeton University, 08544, Princeton, NJ, USA

    Nicholas M. Katz

  4. Max-Planck Institut fĂĽr Mathematik, D-53111, Bonn, Germany

    Yuri I. Manin

  5. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Kenneth A. Ribet

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Brylinski, JL. (2007). Non-commutative Ruelle-Sullivan type currents. In: Cartier, P., Illusie, L., Katz, N.M., Laumon, G., Manin, Y.I., Ribet, K.A. (eds) The Grothendieck Festschrift. Progress in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4574-8_11

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