简介
The authors let G be a compact, simply connected simple Lie group and apply the notion of a twisted tensor product in the manners of Brown and Hess. This constructs an economical injective resolution to compute, as an algebra, the cotorsion product with is of the cobar type Eilenberg-Moore spectral sequence, converging to the cohomology of classifying the space of the loop group LG. They further apply the cobar type spectral sequence and the Hochschild spectral sequence and analyze the TV-model for Bspin(10). Annotation 漏2007 Book News, Inc., Portland, OR (booknews.com)
目录
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
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
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