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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Spin Geometry and the Dirac Operators
Applications in Geometry and Topology
APPENDIX A Principal Gbundles
APPENDIX B Classifying Spaces and Characteristic Classes
Branson's Q-curvature in Riemannian and Spin Geometry
Lawson hb, Michelsohn ml, Spin geometry, Princeton Math. Series, Vol. 38, Princeton University Press, 1989. Lee jm, Parker th, The Yamabe problem, Bull. ...
www.emis.de/ journals/ SIGMA/ 2007/ 119/
Spin geometry of Kähler manifolds and the Hodge Laplacian on ...
Math. Z. (2006) 253: 821–853. DOI 10.1007/s00209-006-0936-8. mathematischezeitschrift. O. Hijazi · S. Montiel · F. Urbano ...
www.springerlink.com/ index/ 1731060T7N104M56.pdf
Spin Geometry in Math and Physics
A fourth year math/physics course at UIUC with online lecture notes
www.hep.uiuc.edu/ home/ rgleigh/ class/ spin/
Spin Geometry. H. Blatne Lawson, Jr., and Marie-Louise Michelsohn. This book offers a systematic and fr>ippn»v»Tnrivy presentation of the ...
qjmath.oxfordjournals.org/ cgi/ issue_pdf/ backmatter_pdf/ 41/ 2.pdf
Branson’s Q-curvature in Riemannian and Spin Geometry<a href="#1"></a>
The key classical argument in Spin Geometry (see ) is to consider on a Riemannian. manifold a special metric in the conformal class associated with an ...
www.imath.kiev.ua/ ~sigma/ 2007/ 119/ sigma07-119.pdf
Spin Geometry Summer Semester 2000
Spin Geometry Summer Semester 2000 ... We will work our way through as much as possible of Lawson and Michelsohn, Spin Geometry. Lectures will be in English ...
www.math.ethz.ch/ ~ilmanen/ classes/ spinor00.html
The twistor equation in Lorentzian spin geometry - Baum, Leitner ...
In this paper we discuss the twistor equation in Lorentzian spin geometry. In particular, we explain the local conformal structure of Lorentzian manifolds, ...
Lawson, hb and Michelsohn, M.: Spin Geometry (PMS-38).
Description of the book Spin Geometry (PMS-38) by Lawson, HB and Michelsohn, M., published by Princeton University Press.
press.princeton.edu/ titles/ 4573.html
book.store.bg - Spin Geometry. (PMS-38) - H. Blaine Lawson, Marie ...
The authors outline just when the indexes are integers (the integrality theorems) and use spin geometry to discuss the immersion problem for manifolds and ...
import.book.store.bg/ product/ id-0691085420/ spin-geometry-40-pms-38-41-.html
Documents For An Access Point
2, H. Blaine Lawson, Spin geometry, Book, 004271, 1989 ... Title, Spin geometry. Author(s), H. Blaine Lawson;Marie-Louise Michelson ...