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Twisted tensor products related to the cohomology of the classifying spaces of loop groups / [electronic resource] Katsuhiko Kuribayashi, Mamoru Mimura, Tetsu Nishimoto.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 849Publication details: Providence, R.I. : American Mathematical Society, 2006.Description: 1 online resource (vi, 85 p.)ISBN:
  • 9781470404536 (online)
Subject(s): Additional physical formats: Twisted tensor products related to the cohomology of the classifying spaces of loop groups /DDC classification:
  • 510 s 514/.2 22
LOC classification:
  • QA3 .A57 no. 849 QA612.8
Online resources:
Contents:
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
Item type: E-BOOKS
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Includes bibliographical references.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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The Institute of Mathematical Sciences, Chennai, India