Global Analysis on Foliated Spaces pdf epub mobi txt 电子书下载 2024

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Calvin C. Moore

Cambridge University Press

2005-12-19

308

GBP 40.99

Paperback

9780521613057

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发表于2024-09-21

Global Analysis on Foliated Spaces epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Global Analysis on Foliated Spaces pdf epub mobi txt 电子书下载 2024

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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.

Global Analysis on Foliated Spaces 下载 mobi epub pdf txt 电子书