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Twisted tensor products related to the cohomology of the classifying spaces of loop groups /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kuribayashi, Katsuhiko, 1963-
Otros Autores: Mimura, M. (Mamoru), 1938-, Nishimoto, Tetsu, 1969-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2006.
Colección:Memoirs of the American Mathematical Society ; no. 849.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction 2. The mod 2 cohomology of $BLSO(n)$ 3. The mod 2 cohomology of $BLG$ for $G=Spin(n)\ (7\le n\le 9)$ 4. The mod 2 cohomology of $BLG$ for $G=G_2, F_4$ 5. A multiplication on a twisted tensor product 6. The twisted tensor product associated with $H^*(Spin(N);\mathbb {Z}/2)$ 7. A manner for calculating the homology of a DGA 8. The Hochschild spectral sequence 9. Proof of Theorem 1.6 10. Computation of a cotorsion product of $H^*(Spin(10);\mathbb {Z}/2)$ and the Hochschild homology of $H^*(BSpin(10);\mathbb {Z}/2)$ 11. Proof of Theorem 1.7 12. Proofs of Proposition 1.9 and Theorem 1.10 13. Appendix.