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Geometry and Dynamics of Groups and Spaces

In Memory of Alexander Reznikov

  • Book
  • © 2008

Overview

Editors:
  1. Mikhail Kapranov

    1. Department of Mathematics, Yale University, New Haven, USA

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  2. Yuri Ivanovich Manin

    1. Max-Planck-Institut für Mathematik, Bonn, Germany

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  3. Pieter Moree

    1. Max-Planck-Institut für Mathematik, Bonn, Germany

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  4. Sergiy Kolyada

    1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

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  5. Leonid Potyagailo

    1. UFR de Mathématiques, Villeneuve d’Ascq Cedex, France

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  • Contributions by many prominent mathematicians
  • Provides an extensive survey on Kleinian groups in higher dimensions
  • Contains an unpublished book "Analytic Topology of Groups, Actions, Strings and Varieties" by Alexander Reznikov
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 265)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxix
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  2. Analytic Topology of Groups, Actions, Strings and Varieties

    1. Front Matter

      Pages 1-1
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    2. Analytic Topology of Groups, Actions, Strings and Varieties

      • Alexander Reznikov
      Pages 3-93

  3. Research Articles

    1. Front Matter

      Pages 95-95
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    2. Jørgensen’s Inequality for Non-Archimedean Metric Spaces

      • J. Vernon Armitage, John R. Parker
      Pages 97-111

    3. The Hypoelliptic Dirac Operator

      • Jean-Michel Bismut
      Pages 113-246

    4. Generalized Operads and Their Inner Cohomomorphisms

      • Dennis V. Borisov, Yuri I. Manin
      Pages 247-308

    5. Chern Character for Twisted Complexes

      • Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan
      Pages 309-324

    6. (C, F)-Actions in Ergodic Theory

      • Alexandre I. Danilenko
      Pages 325-351

    7. Homomorphic Images of Branch Groups, and Serre’s Property (FA)

      • Thomas Delzant, Rostislav Grigorchuk
      Pages 353-375

    8. On Nori’s Fundamental Group Scheme

      • Hélène Esnault, Phùng Hô Hai, Xiaotao Sun
      Pages 377-398

    9. The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is Infinite

      • Alexander Fel’shtyn, Daciberg L. Gonçalves
      Pages 399-414

    10. Pentagon Relation for the Quantum Dilogarithm and Quantized M cyc0,5

      • Alexander B. Goncharov
      Pages 415-428

    11. Geodesic Flow on the Normal Congruence of a Minimal Surface

      • Brendan Guilfoyle, Wilhelm Klingenberg
      Pages 429-438

    12. The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem

      • Jaya N. Iyer, Carlos T. Simpson
      Pages 439-485

    13. Kleinian Groups in Higher Dimensions

      • Michael Kapovich
      Pages 487-564

    14. A ∞-bimodules and Serre A ∞-functors

      • Volodymyr Lyubashenko, Oleksandr Manzyuk
      Pages 565-645

    15. Geometrization of Probability

      • Vitali D. Milman
      Pages 647-667

    16. Milnor Invariants and l-Class Groups

      • Masanori Morishita
      Pages 669-683

    17. Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfaces

      • Jean-Pierre Otal
      Pages 685-695
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Keywords

Editors and Affiliations

  • Department of Mathematics, Yale University, New Haven, USA

    Mikhail Kapranov

  • Max-Planck-Institut für Mathematik, Bonn, Germany

    Yuri Ivanovich Manin, Pieter Moree

  • Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Sergiy Kolyada

  • UFR de Mathématiques, Villeneuve d’Ascq Cedex, France

    Leonid Potyagailo

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