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Elliptic Cohomology: University Series in Mathematics

Autor Charles B. Thomas
en Limba Engleză Hardback – 31 mai 1999
Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from `Monstrous Moonshine') it is possible to give a bundle-theoretic definition of EU-(BG). Concluding chapters also discuss variants, generalisations and potential applications.
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Specificații

ISBN-13: 9780306460975
ISBN-10: 0306460971
Pagini: 200
Ilustrații: XII, 200 p.
Dimensiuni: 155 x 235 x 21 mm
Greutate: 0.47 kg
Ediția:1999
Editura: Springer Us
Colecția Springer
Seria University Series in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

Elliptic Genera.- Cohomology Theory Ell*(X).- Work of M. Hopkins, N. Kuhn, and D. Ravenel.- Mathieu Groups.- Cohomology of Certain Simple Groups.- Ell*(BG) — Algebraic Approach.- Completion Theorems.- Elliptic Objects.- Variants of Elliptic Cohomology.- K3-Cohomology.