Michael Atiyah Collected Works: Volume 4: Index Theory 2 - Rilegato

Atiyah, Michael

Rilegato

ISBN 10: 0198532784 ISBN 13: 9780198532781

Casa editrice: Clarendon Press, 1988

Riassunto

Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject.
Volumes III and IV cover papers written in 1963-84 and are the result of a long collaboration with I. M. Singer on the Index Theory of elliptic operators.

Su questo libro

Contenuti:

• 79.: On the heat equation and the index theorem
• 79.a .: Errata to the paper: On the heat equation and the index theorem
• 80.: Spectral asymmetry and Riemannian geometry
• 81.: Spectral asymmetry and Riemannian geometry I
• 82.: Spectral asymmetry and Riemannian geometry II
• 83.: Spectral asymmetry and Riemannian geometry III
• 84.: Hyperbolic differential equations and algebraic geometry.
• 85.: Lacunas for hyperbolic differential operators with constant coefficients I
• 86.: Lacunas for hyperbolic differential operators with constant coefficients II.
• 87.: Eigenvalues and Riemannian geometry.
• 88.: Classical groups and classical differential operators on manifolds.
• 89.: Elliptic operators, discrete groups and von Neumann algebras.
• 90.: A geometric construction of the discrete series for the semi-simple Lie groups.
• 90.a.: Erratum to A geometric construction of the discrete series for the semi-simple Lie groups
• 91.: Characters of semi-simple Lie groups.
• 92.: Geometry and analysis of Shimizu L-functions.
• 93.: Eta invariants, signature defects of cusps and values of L-functions.
• 93. a.: Signature defects of cusps and values of L-functions: the nonsplit case

Product Description:

This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses index theory. The focus of Professor Atiyah's work has been in the areas algebraic geometry and topology, but he has also had many interactions with theoretical physicists. In addition, this book includes papers of a more general nature, dealing with mathematical education and other related topics. The impetus behind this set of collected works of great mathematicians came from the Chinese American Professor S.S.Chern of Ber keley.

Su questa edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1988
• ISBN 10: 0198532784
• ISBN 13: 9780198532781
• Rilegatura: Copertina rigida
• Numero di pagine: 654