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Elliptic Cohomology

Elliptic Cohomology

Paperback

Series: University Mathematics

General MathematicsGeometry

ISBN10: 1475787588
ISBN13: 9781475787580
Publisher: Springer Nature
Published: Mar 24 2013
Pages: 200
Weight: 0.65
Height: 0.46 Width: 6.00 Depth: 9.00
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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