Read e-book online Global Analysis on Foliated Spaces (Mathematical Sciences PDF

By Calvin C. Moore,Claude L. Schochet

Foliated areas glance in the neighborhood like items, yet their international constitution is mostly now not a product, and tangential differential operators are correspondingly extra complicated. within the Eighties, Alain Connes based what's referred to now as noncommutative geometry and topology. one of many first effects was once his generalization of the Atiyah-Singer index theorem to compute the analytic index linked to a tangential (pseudo) - differential operator and an invariant transverse degree on a foliated manifold, when it comes to topological information at the manifold and the operator. This moment variation offers a whole evidence of this gorgeous outcome, generalized to foliated areas (not simply manifolds). It contains the required historical past from research, geometry, and topology. the current version has better exposition, an up to date bibliography, an index, and extra fabric protecting advancements and functions because the first variation got here out, together with the affirmation of the distance Labeling Conjecture of Jean Bellissard.

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Global Analysis on Foliated Spaces (Mathematical Sciences Research Institute Publications) by Calvin C. Moore,Claude L. Schochet

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