Timeline for H^d[U(1)^n,U(1)] of the Borel cohomology and Chern-Simons theory
Current License: CC BY-SA 3.0
5 events
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Apr 26, 2013 at 9:34 | comment | added | Henry.L | Update as an answer. | |
Apr 26, 2013 at 9:30 | history | edited | Henry.L | CC BY-SA 3.0 |
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Apr 26, 2013 at 9:24 | history | edited | Henry.L | CC BY-SA 3.0 |
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Apr 22, 2013 at 23:44 | comment | added | wonderich | Thank you. Let me please provide one more PHYSICS motivation for the problem, it concerns: Dijkgraaf-Witten theory: Robbert Dijkgraaf, Edward Witten, Topological Gauge Theories and Group Cohomology, Commun. Math. Phys. 129 (1990), 393 See also: ncatlab.org/nlab/show/Dijkgraaf-Witten+theory Hopefully it drives more attention to this seemly simple calculation. $ \begin{cases} H^3[U(1),U(1)]=Z,\newline H^3[U(1)\times U(1),U(1)]=?(\text{my guess}(Z)^3) \newline H^3[U(1)\times U(1)\times U(1),U(1)]=?(\text{my guess}(Z)^7) \end{cases} $ I like to compare it to Chern-Simons theory. | |
Apr 22, 2013 at 5:05 | history | answered | Henry.L | CC BY-SA 3.0 |