Twisted tensor products related to the cohomology of the classifying spaces of loop groups /
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| Author / Creator: | Kuribayashi, Katsuhiko, 1963- |
|---|---|
| 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 |
Table of Contents:
- Introduction
- The mod 2 cohomology of $BLSO(n)$
- The mod 2 cohomology of $BLG$ for $G=Spin(n)\ (7\leq n\leq 9)$
- The mod 2 cohomology of $BLG$ for $G=G_2,F_4$
- A multiplication on a twisted tensor product
- The twisted tensor product associated with $H^*(Spin(N);\mathbb{{Z}}/2)$
- A manner for calculating the homology of a DGA
- The Hochschild spectral sequence Proof of Theorem 1.6
- Computation of a cotorsion product of $H^*(Spin(10);\mathbb{{Z}}/2)$ and the Hochschild homology of $H^*(BSpin(10);\mathbb{{Z}}/2)$
- Proof of Theorem 1.7
- Proofs of Proposition 1.9 and Theorem 1.10
- Appendix
- Bibliography
