Higher Index Theory

by Rufus Willett and Guoliang Yu

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...

• Format: Hardcover
• Language: English
• ISBN: 1108491065
• ISBN13: 9781108491068
• Release Date: August 2020
• Publisher: Cambridge University Press
• Length: 592 Pages
• Weight: 2.12 lbs.
• Dimensions: 1.5" x 6.1" x 9.1"