Manifolds and Modular Forms

Author:   Friedrich Hirzebruch ,  Thomas Berger ,  Rainer Jung ,  Peter Landweber
Publisher:   Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
Edition:   1992 ed.
Volume:   20
ISBN:  

9783528064143


Pages:   211
Publication Date:   31 December 1992
Format:   Hardback
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Our Price $116.41 Quantity:  
Add to Cart

Share |

Manifolds and Modular Forms


Add your own review!

Overview

During the winter term 1987/88 I gave a course at the University of Bonn under the title Manifolds and Modular Forms . Iwanted to develop the theory of Elliptic Genera and to leam 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 Thom 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 Chem 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 o 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.

Full Product Details

Author:   Friedrich Hirzebruch ,  Thomas Berger ,  Rainer Jung ,  Peter Landweber
Publisher:   Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
Imprint:   Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
Edition:   1992 ed.
Volume:   20
Dimensions:   Width: 15.60cm , Height: 1.20cm , Length: 23.40cm
Weight:   0.327kg
ISBN:  

9783528064143


ISBN 10:   3528064145
Pages:   211
Publication Date:   31 December 1992
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In stock   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.
Language:   German

Table of Contents

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

 

MD

Shopping Cart
Your cart is empty
Shopping cart
Mailing List