Skip to content

Manifolds and Modular Forms
Stock Photo: Cover May Be Different

Manifolds and Modular Forms Paperback - 1994

by Friedrich Hirzebruch; Peter S. Translated by Landweber (Translator); Thomas Berger


From the publisher

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.

Details

  • Title Manifolds and Modular Forms
  • Author Friedrich Hirzebruch; Peter S. Translated by Landweber (Translator); Thomas Berger
  • Binding Paperback
  • Edition 2nd
  • Pages 212
  • Volumes 1
  • Language ENG
  • Publisher Vieweg+teubner Verlag
  • Date 1994
  • ISBN 9783528164140 / 352816414X
  • Dewey Decimal Code 620
Back to Top

More Copies for Sale

Manifolds and Modular Forms (Aspects of Mathematics)
Stock Photo: Cover May Be Different

Manifolds and Modular Forms (Aspects of Mathematics)

by Friedrich Hirzebruch

  • New
  • Paperback
Condition
New
Binding
Paperback
ISBN 13
9783528164140
ISBN 10
352816414X
Quantity Available
1
Seller
Exeter, Devon, United Kingdom
Seller rating:
This seller has earned a 4 of 5 Stars rating from Biblio customers.
Item Price
$96.52
$12.77 shipping to USA

Show Details

Description:
Vieweg+Teubner Verlag, 1994. Paperback. New. 2nd edition. 223 pages. 9.00x6.25x0.75 inches.
Item Price
$96.52
$12.77 shipping to USA