The Leading eBooks Store Online 4,272,009 members ⚫ 1,419,367 ebooks

New to eBooks.com?

Learn more

Global Analysis on Foliated Spaces

Global Analysis on Foliated Spaces by Calvin C. Moore
Buy this eBook
US$ 54.00 US$ 48.50
(If any tax is payable it will be calculated and shown at checkout.)
Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry and topology. 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 second edition presents a complete proof of this beautiful result, generalized to foliated spaces (not just manifolds). It includes the necessary background from analysis, geometry, and topology. The present edition has improved exposition, an updated bibliography, an index, and additional material covering developments and applications since the first edition came out, including the confirmation of the Gap Labeling Conjecture of Jean Bellissard.
Cambridge University Press; December 2005
309 pages; ISBN 9780511137846
Read online, or download in secure PDF format
Title: Global Analysis on Foliated Spaces
Author: Calvin C. Moore; Claude L. Schochet
 
ISBNs
0511137842
9780511137846
9780521613057