Timeline for Examples of n+1D TQFT with 1 dimensional Hilbert spaces on n-torus and n-sphere but higher dimensional Hilbert spaces on other n-manifolds
Current License: CC BY-SA 3.0
4 events
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| Apr 15, 2019 at 14:08 | comment | added | Olaf Teschke | Small addition: Meanwhile, the published version arXiv:01772 has appeared <cite authors="Schommer-Pries, Christopher J.">_Schommer-Pries, Christopher J._, Tori detect invertibility of topological field theories, Geom. Topol. 22, No. 5, 2713-2756 (2018). ZBL1405.18009.</cite>, and the review includes the discussion here. | |
| Nov 9, 2015 at 22:30 | vote | accept | Chao-Ming Jian | ||
| Nov 9, 2015 at 22:30 | comment | added | Chao-Ming Jian | Thank you very much for this very interesting and thorough answer!! As you said in the answer and also your paper 1511.01772, the dimension reduction and surgery play key roles in proving this theorem. I am wondering if you have some insights in directly proving this theorem using the handle decomposition of manifolds. In hindsight, it seems that an analysis of the handle decomposition of T^n should provide enough information of the once-extended TQFT to constrain the invertibility on other manifolds. | |
| Nov 6, 2015 at 9:23 | history | answered | Chris Schommer-Pries | CC BY-SA 3.0 |