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Spin Geometry (PMS-38), Volume 38 (Hardcover, New) Loot Price: R3,761
Discovery Miles 37 610
You Save: R250 (6%)
Spin Geometry (PMS-38), Volume 38 (Hardcover, New): H. Blaine Lawson, Marie-Louise Michelsohn

Spin Geometry (PMS-38), Volume 38 (Hardcover, New)

H. Blaine Lawson, Marie-Louise Michelsohn

Series: Princeton Mathematical Series

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List price R4,011 Loot Price R3,761 Discovery Miles 37 610 | Repayment Terms: R352 pm x 12* You Save R250 (6%)

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This book offers a systematic and comprehensive presentation of the concepts of a spin manifold, spinor fields, Dirac operators, and A-genera, which, over the last two decades, have come to play a significant role in many areas of modern mathematics. Since the deeper applications of these ideas require various general forms of the Atiyah-Singer Index Theorem, the theorems and their proofs, together with all prerequisite material, are examined here in detail. The exposition is richly embroidered with examples and applications to a wide spectrum of problems in differential geometry, topology, and mathematical physics. The authors consistently use Clifford algebras and their representations in this exposition. Clifford multiplication and Dirac operator identities are even used in place of the standard tensor calculus. This unique approach unifies all the standard elliptic operators in geometry and brings fresh insights into curvature calculations. The fundamental relationships of Clifford modules to such topics as the theory of Lie groups, K-theory, KR-theory, and Bott Periodicity also receive careful consideration. A special feature of this book is the development of the theory of Cl-linear elliptic operators and the associated index theorem, which connects certain subtle spin-corbordism invariants to classical questions in geometry and has led to some of the most profound relations known between the curvature and topology of manifolds.

General

Imprint: Princeton University Press
Country of origin: United States
Series: Princeton Mathematical Series
Release date: February 1990
First published: February 1990
Authors: H. Blaine Lawson • Marie-Louise Michelsohn
Dimensions: 235 x 152 x 30mm (L x W x T)
Format: Hardcover - Trade binding
Pages: 440
Edition: New
ISBN-13: 978-0-691-08542-5
Categories: Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Books > Science & Mathematics > Mathematics > Topology > General
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LSN: 0-691-08542-0
Barcode: 9780691085425

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