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  3. General Theory of Lie Groupoids and Lie Algebroids
  • Cited by 352
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    • Publisher:
      Cambridge University Press
      Publication date:
      April 2013
      June 2005
      ISBN:
      9781107325883
      9780521499286
      DOI:
      https://doi.org/10.1017/CBO9781107325883
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.79kg, 540 Pages
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology, Algebra
      Series:
      London Mathematical Society Lecture Note Series (213)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology, Algebra
    Series:
    London Mathematical Society Lecture Note Series (213)
    Information

    Book description

    This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.

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