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Elliptic Cohomology

Elliptic Cohomology

Hardcover

Series: University Mathematics

General MathematicsGeometry

ISBN10: 0306460971
ISBN13: 9780306460975
Publisher: Springer Nature
Published: May 31 1999
Pages: 200
Weight: 1.03
Height: 0.83 Width: 6.42 Depth: 9.18
Language: English
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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