Spin Geometry. (PMS-38)

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9780691085425: Spin Geometry. (PMS-38)

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.

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Lawson, H. Blaine;Michelsohn, Marie-Louise
Published by Ewing, New Jersey, U.S.A.: Princeton Univ Pr (1990)
ISBN 10: 0691085420 ISBN 13: 9780691085425
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Book Description Ewing, New Jersey, U.S.A.: Princeton Univ Pr, 1990. Soft cover. Book Condition: New. Dust Jacket Condition: New. 1st Edition. Low price guarantee! The book is the brand new international edition textbook with the different ISBN and cover design. The book main content black/white printed in full English as same as the corresponding original US edition. Fast shipments will sent out by DHL/UPS or standard post mail with tracking numbers in one to two working days after the orders confirmed. Bookseller Inventory # ABE-11814894560

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Lawson, H. Blaine;Michelsohn, Marie-Louise
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Book Description Ewing, New Jersey, U.S.A.: Princeton Univ Pr, 1990. Soft cover. Book Condition: New. Dust Jacket Condition: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Bookseller Inventory # ABE-8552211006

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Book Description Princeton University Press, United States, 1990. Hardback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAZ9780691085425

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H.Blaine Lawson, Marie-Louise Michelsohn
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Book Description Princeton University Press, United States, 1990. Hardback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAZ9780691085425

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Book Description Princeton University Press 1992-07-01, 1992. hardback. Book Condition: New. Bookseller Inventory # 9780691085425

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Book Description Princeton University Press, 1992. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9780691085425

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Book Description Hardback. Book Condition: New. Not Signed; 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 requ. book. Bookseller Inventory # ria9780691085425_rkm

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Lawson, H.Blaine; Michelsohn, Marie-Louise
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Book Description Princeton University Press, 1990. Book Condition: New. 1990. Hardcover. The concepts of a spin manifold, spinor fields, Dirac operators, and A-genera are presented comprehensively in this book. It also features 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. Series: Princeton Mathematical Series. Num Pages: 440 pages, illustrations. BIC Classification: PBMW; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 237 x 164 x 33. Weight in Grams: 834. . . . . . . Bookseller Inventory # V9780691085425

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Book Description Princeton University Press, 1990. Hardcover. Book Condition: New. Bookseller Inventory # INGM9780691085425

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