Twisted tensor products related to the cohomology of the classifying spaces of loop groups / Katsuhiko Kuribayashi, Mamoru Mimura, Tetsu Nishimoto.
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 $Ĥ*(Spin(N);\mathbb{Z}/2)$ A manner for calculating the...
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| Format: | eBook |
| Language: | English |
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Providence, R.I. :
American Mathematical Society,
2006.
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| Series: | Memoirs of the American Mathematical Society ;
no. 849. |
| Subjects: |
MARC
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| 050 | 4 | |a QA3 |b .A57 no. 849 |a QA612.8 | |
| 100 | 1 | |a Kuribayashi, Katsuhiko, |d 1963- | |
| 245 | 1 | 0 | |a Twisted tensor products related to the cohomology of the classifying spaces of loop groups / |c Katsuhiko Kuribayashi, Mamoru Mimura, Tetsu Nishimoto. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2006. | ||
| 300 | |a 1 online resource (vi, 85 pages) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 849. | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | 0 | |t 1. Introduction |t 2. The mod 2 cohomology of $BLSO(n)$ |t 3. The mod 2 cohomology of $BLG$ for $G=Spin(n)\ (7\le n\le 9)$ |t 4. The mod 2 cohomology of $BLG$ for $G=G_2, F_4$ |t 5. A multiplication on a twisted tensor product |t 6. The twisted tensor product associated with $Ĥ*(Spin(N);\mathbb {Z}/2)$ |t 7. A manner for calculating the homology of a DGA |t 8. The Hochschild spectral sequence |t 9. Proof of Theorem 1.6 |t 10. Computation of a cotorsion product of $Ĥ*(Spin(10);\mathbb {Z}/2)$ and the Hochschild homology of $Ĥ*(BSpin(10);\mathbb {Z}/2)$ |t 11. Proof of Theorem 1.7 |t 12. Proofs of Proposition 1.9 and Theorem 1.10 |t 13. Appendix. |
| 520 | 8 | |a 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 $Ĥ*(Spin(N);\mathbb{Z}/2)$ A manner for calculating the homology of a DGA The Hochschild spectral sequence Proof of Theorem 1.6 Computation of a cotorsion product of $Ĥ*(Spin(10);\mathbb{Z}/2)$ and the Hochschild homology of $Ĥ*(BSpin(10);\mathbb{Z}/2)$ Proof of Theorem 1.7 Proofs of Proposition 1.9 and Theorem 1.10 Appendix Bibliography. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Spectral sequences (Mathematics) | |
| 650 | 0 | |a Topology. | |
| 650 | 0 | |a Cohomology operations. | |
| 650 | 7 | |a Cohomology operations. |2 fast |0 (OCoLC)fst00866607. | |
| 650 | 7 | |a Spectral sequences (Mathematics) |2 fast |0 (OCoLC)fst01129070. | |
| 650 | 7 | |a Topology. |2 fast |0 (OCoLC)fst01152692. | |
| 700 | 1 | |a Mimura, M. |q (Mamoru), |d 1938- | |
| 700 | 1 | |a Nishimoto, Tetsu, |d 1969- | |
| 776 | 0 | 8 | |i Print version: |a Kuribayashi, Katsuhiko, 1963- |t Twisted tensor products related to the cohomology of the classifying spaces of loop groups / |x 0065-9266 |z 9780821838563. |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 849. | |
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| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |e QA3 .A57 no. 849 QA612.8 |h Library of Congress classification |i web |n 1 |