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.
General
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