Elliptic Cohomology / by Charles B. Thomas
(The University Series in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Boston, MA : Springer US , 1999 |
| 本文言語 | 英語 |
| 大きさ | XII, 200 p : online resource |
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| 内容注記 | 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 |
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| 一般注記 | 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 |
| 著者標目 | *Thomas, Charles B. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Geometry LCSH:Number theory LCSH:Physics FREE:Mathematics FREE:Geometry FREE:Number Theory FREE:Theoretical, Mathematical and Computational Physics |
| 分 類 | DC23:516 |
| 巻冊次 | ISBN:9780306469695 
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| ISBN | 9780306469695 |
| URL | http://dx.doi.org/10.1007/b115001 |
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