Twisted tensor products related to the cohomology of the classifying spaces of loop groups /
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| Author / Creator: | Kuribayashi, Katsuhiko, 1963- |
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| Imprint: | Providence, R.I. : American Mathematical Society, 2006. |
| Description: | vi, 85 p. ; 26 cm. |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society ; 0065-9266 ; no. 849 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6448045 |
| Summary: | Let $G$ be a compact, simply connected, simple Lie group. By applying the notion of a twisted tensor product in the senses of Brown as well as of Hess, we construct an economical injective resolution to compute, as an algebra, the cotorsion product which is the $E_2$-term of the cobar type Eilenberg-Moore spectral sequence converging to the cohomology of classifying space of the loop group $LG$. As an application, the cohomology $H^*(BLSpin(10); \mathbb{{Z}}/2)$ is explicitly determined as an $H^*(BSpin(10); \mathbb{{Z}}/2)$-module by using effectively the cobar type spectral sequence and the Hochschild spectral sequence, and further, by analyzing the TV-model for $BSpin(10)$. |
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| Physical Description: | vi, 85 p. ; 26 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 0821838563 9780821838563 |
