Higher Index Theory

Language: English

Published by Cambridge University Press, GB, 2020

1108491065 / 9781108491068

Series: Book 117 of 151 - Cambridge Studies in Advanced Mathematics

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Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalise the classical Fredholm index using tools from the K-theory of operator algebras. This leads to higher index theory, a rapidly developing subject with connections to noncommutative geometry, large-scale geometry, manifold topology and geometry, and operator algebras. Aimed at geometers, topologists and operator algebraists, this book takes a friendly and concrete approach to this exciting theory, focusing on the main conjectures in the area and their applications outside of it. A well-balanced combination of detailed introductory material (with exercises), cutting-edge developments and references to the wider literature make this a valuable guide to this active area for graduate students and experts alike.

Seller Inventory # LU-9781108491068

Title
Higher Index Theory
Author
Rufus Willett, Guoliang Yu
Publisher
Cambridge University Press, GB
Publication year
2020
Condition
New
Binding
Hardback
Language
English
ISBN 10
1108491065
ISBN 13
9781108491068
Item weight
940 grams
Series
Book 117 of 151: Cambridge Studies in Advanced Mathematics

Rarewaves.com USA

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