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＜電子ブック＞
Elliptic Cohomology / by Charles B. Thomas
(University Series in Mathematics)

版	1st ed. 1999.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	XII, 200 p : online resource
著者標目	*Thomas, Charles B author SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Number theory LCSH:Mathematical physics FREE:Geometry FREE:Number Theory FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/b115001

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