Timeline for Which manifolds are sensitive to the cocycle in the Dijkgraaf-Witten model?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 23, 2017 at 15:45 | history | edited | Manuel Bärenz | CC BY-SA 3.0 |
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| Jun 22, 2017 at 20:19 | vote | accept | Manuel Bärenz | ||
| Jun 22, 2017 at 16:31 | comment | added | Marcel Bischoff | I guess there are $\omega\neq \omega'$ which are not related by $\mathrm{Aut}(G)$ which cannot be distinguished by any manifolds because of gauge invariance. In 3D the Dijkgraaf-Witten invariant associated with $(G,\omega)$ equals the Reshetikhin-Turaev invariant of $\mathrm{Rep}(D^\omega(G))$, but there are known $\omega\neq \omega'$ with $\mathrm{Rep}(D^\omega(G))$ braided equivalent to $\mathrm{Rep}(D^{\omega'}(G))$ by Goff-Mason-Ng. | |
| Jun 22, 2017 at 13:51 | answer | added | Arun Debray | timeline score: 9 | |
| Jun 22, 2017 at 12:25 | comment | added | Will Sawin | Isn't it true that for pretty much every manifold, the invariant associated to the trivial cocycle is distinct from, because it is larger than, the invariant associated to a nontrivial cocycle? It should happen as long as there is any $\phi$ such that $\phi^*(\omega)$ is nontrivial. | |
| Jun 22, 2017 at 12:23 | comment | added | Will Sawin | This is a multiplicative integral, right? | |
| Jun 22, 2017 at 10:45 | history | asked | Manuel Bärenz | CC BY-SA 3.0 |