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Global Analysis On Foliated Spaces
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ISBN 9780521613057
REGISTERED: 01/15/23
UPDATED: 07/12/25
Global Analysis On Foliated Spaces

Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex


Specifications
  • Global Analysis On Foliated Spaces available on December 24 2015 from Indigo for 73.58
  • ISBN bar code 9780521613057 ξ1 registered June 21 2015
  • Product category is Book

  • # 978052161305

In the 1980s, Alain Connes founded what is now known as noncommutative geometry. One of the first results was his generalization of the Atiyah-Singer index theorem to compute the analytic index associated with a tangential (pseudo)-differential operator and an invariant transverse measure on a foliated manifold, in terms of topological data on the manifold and the operator. This book presents a complete proof of this beautiful result, generalized to foliated spaces (not just manifolds).


References
    ^ Global Analysis On Foliated Spaces Indigo. (revised Dec 2015)

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