Copied Manifolds and Modular Forms
Manifolds and Modular Forms
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.
Price Comparison
| Seller | Contact Seller | List Price | On Sale | Shipping | Best Promo | Final Price | Volume Discount | Financing | Availability | Seller's Page |
|---|---|---|---|---|---|---|---|---|---|---|
|
BEST PRICE 1 Product Purchase
|
|
$39.99 | $39.99 |
|
$39.99 | See Site | In stock | Visit Store |
Reviews
Questions & Answers
Children's Literature, Popular Culture, and Robinson Crusoe
$54.99
Guide to Discrete Mathematics
$69.99
Familie an der Schwelle zum neuen Jahrtausend
$59.99
Grundlagenforschung fr Konstruktionsprinzipien von Reduktionsschachtfen
$44.99
Die Geschichte der sozialliberalen Rstungsexportpolitik
$69.99
Uncertain Logics, Variables and Systems
$54.99
Usborne Introduction: Introduction to the Second World War
$9.71
Distant Kinship Entfernte Verwandtschaft
$89.99
Brain-Computer Interfaces
$109.99
Die Unternehmergesellschaft (UG)
$59.99
Effective Evolution Equations from Quantum Dynamics
$54.99
Advances in Data and Web Management
$84.99
Analytische und konstruktive Differentialgeometrie
$49.99
Scarce Natural Resources, Recycling, Innovation and Growth
$54.99
Out of Character
$129.99
Einfhrung in die Regelungstechnik
$59.99
Handbook of Natural Language Processing and Machine Translation
$229.00
Organizational Trust
$109.99
Wings of Fire Graphic Novel: The Hidden Kingdom (#3)
$9.74
Where We Go From Here (Hardcover)
$14.24
Die Natrliche Verbreitung der Lrche in den Ostalpen
$59.99
Entwicklung und Optimierung von Prozekomponenten zur ionenuntersttzten Abscheidung bei PVD-Verfahr
$84.99
Religious Experience Among Second Generation Korean Americans
$39.99
Industrial Applications for Intelligent Polymers and Coatings
$249.99
Data-Driven Optimization and Knowledge Discovery for an Enterprise Information System
$109.99
Laws Relating to Sex, Pregnancy, and Infancy
$39.99
Transactions on Computational Collective Intelligence XXX
$54.99
Kalorisch-Chemische Rechenaufgaben
$69.99
Die beratene Gesellschaft
$59.99
The Next Step Forward in Word Study and Phonics
$29.24
Foundation Flash CS4 for Designers
$29.99
Melt Rheology and Its Role in Plastics Processing
$169.99
Cognitive Computing and Information Processing
$64.99
Golden Years of Australian Radio Astronomy
$54.99
Personal Virtues
$109.99
Allotria eines alten Mediziners
$59.99
ber den Zusammenhang der additiven Inhalts- und Matheorien
$49.99
Religion, Womens Health Rights, and Sustainable Development in Zimbabwe: Volume 2
$84.99
Computational Electronics
$34.99
Migration und transnationale Familien im sozialen Wandel Kubas
$44.99
