Manifolds and Modular Forms

Language: English

Published by Vieweg+Teubner Verlag, 1994

352816414X / 9783528164140

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - During the winter term 1987/88 I gave a course at the University of Bonn under the title 'Manifolds and Modular Forms'. I wanted to develop the theory of 'Elliptic Genera' and to learn it myself on this occasion. This theory due to Ochanine, Landweber, Stong and others was relatively new at the time. The word 'genus' is meant in the sense of my book 'Neue Topologische Methoden in der Algebraischen Geometrie' published in 1956: A genus is a homomorphism of the Thorn cobordism ring of oriented compact manifolds into the complex numbers. Fundamental examples are the signature and the A-genus. The A-genus equals the arithmetic genus of an algebraic manifold, provided the first Chern class of the manifold vanishes. According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure. The elliptic genera depend on a parameter. For special values of the parameter one obtains the signature and the A-genus. Indeed, the universal elliptic genus can be regarded as a modular form with respect to the subgroup r (2) of the modular group; the two cusps 0 giving the signature and the A-genus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold.

Seller Inventory # 9783528164140

Title
Manifolds and Modular Forms
Author
Rainer Jung
Publisher
Vieweg+Teubner Verlag
Publication year
1994
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
352816414X
ISBN 13
9783528164140
Edition
2nd Edition
Item weight
359 grams
Dimensions
229x162x13 mm

AHA-BUCH GmbH

Einbeck, Germany

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