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
Glaukom
$59.99
Commemoration and Oblivion in Royalist Print Culture, 1658-1667
$79.99
Relational Intentionality: Brentano and the Aristotelian Tradition
$84.99
Neuroactivation and Neuroimaging with SPET
$54.99
Precision in Pulmonary, Critical Care, and Sleep Medicine
$159.99
Advances in Web Intelligence
$39.99
The Moon
$109.00
Kurt von Neergaard
$54.99
Beginning iOS Game Center and GameKit
$54.99
Liquid Crystals and Ordered Fluids
$39.99
Radicalisation and Crisis Management
$129.99
Einfhrung in die Dynamik
$44.99
Jugendkultur und Politisierung
$54.99
Individualisierung
$69.99
Universities, the Citizen Scholar and the Future of Higher Education
$99.99
Palliative Care in Pediatric Oncology
$139.99
Methoden der Mestochastik
$69.99
Conducting Miranda Evaluations
$69.99
Leaps of Faith
$24.99
A Review and Annotated Bibliography of Family Business Studies
$169.99
Theorie- und Modellbildung
$59.99
Blended Learning. Education in a Smart Learning Environment
$89.99
Resounding International Relations
$54.99
The Ichthyoses
$89.00
Hybride konomische Akteure und Organisationen
$39.99
The Proceedings of the 17th Annual Conference of China Electrotechnical Society
$449.99
Persistence Pays
$169.00
Esterases, Lipases, and Phospholipases
$219.99
Reanimation verschiedener Krankheiten des Nervensystems / Zur Physiologie der Blutgerinnung bei Neug
$59.99
The Tea Party, Occupy Wall Street, and the Great Recession
$159.00
Wirkungsvoll und berzeugend sprechen der Rich-Impact-Speaking-Ansatz
$29.99
Social Movements, Public Spheres and the European Politics of the Environment
$54.99
Common Surgical Diseases
$74.99
The Gospel of Beauty in the Progressive Era
$54.99
Homer-Handbuch
$39.99
Prostate Ultrasound
$109.99
Praktikum in Werkstoffkunde
$74.99
Tuberculosis and Disabled Identity in Nineteenth Century Literature
$119.99
Goldsmith
$39.99
Hepatocytes
$139.00
