Elliptic Cohomology

Name: Elliptic Cohomology
Price: 109.99 USD
Availability: InStock
ISBN: 9780306460975

ISBN-10: 0306460971

ISBN-13: 9780306460975

Edition: 1999

Authors: C. B. Thomas

List price: $109.99

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Description:

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.

Book details

List price: $109.99
Copyright year: 1999
Publisher: Springer
Publication date: 5/31/1999
Binding: Hardcover
Pages: 200
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 2.332
Language: English



Introduction



Elliptic Genera



Cohomology Theory Ell* (X)



Work of M. Hopkins, N. Kuhn, and D. Ravenel



Mathieu Groups



Cohomology of Certain Simple Groups



Ell[superscript *] (BG) - Algebraic Approach



Completion Theorems



Elliptic Objects



Variants of Elliptic Cohomology



K3-Cohomology



Brown-Peterson Cohomology



Cayley Projective Plane OP[superscript 2]



Index of [Gamma][subscript 0](N) in SL[subscript 2](Z)


References


Index