Timeline for Framings in the definition of Reshetikhin-Turaev TQFT
Current License: CC BY-SA 3.0
8 events
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Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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Jun 11, 2012 at 20:34 | vote | accept | CommunityBot | ||
Jun 4, 2012 at 13:36 | answer | added | Kevin Walker | timeline score: 4 | |
Jun 2, 2012 at 13:27 | comment | added | user22741 | @Daniel Moskovich, I don't understand well. Could you give me examples that illustrate your comment? | |
Jun 2, 2012 at 8:56 | comment | added | user22741 | @Kevin Walker, I mean a framing of a ribbon graph. The standard ribbons in the standard handlebody has framing $0$, by definition. I want to know the framing of the ribbon graph after it is glued via parametrizations to cobordism to form a closed manifold. | |
Jun 1, 2012 at 13:12 | comment | added | Kevin Walker | I don't understand your question. Are you talking about framings of the ribbon graph, or framings of the 3-manifold? A ribbon graph is equivalent to a framed graph, so if you are starting with a ribbon structure on the graph(s) there's no need to say anything additional about framings. | |
Jun 1, 2012 at 10:27 | comment | added | Daniel Moskovich | Each open edge is framed by the linking number of the ribbon with its core (equivalently: a trivialization of normal bundle of the core). The compatibility condition is that the framings coincide at vertices- the three ribbons glue together, with matching orientations, to form a disc (the coupon). | |
Jun 1, 2012 at 2:03 | history | asked | user22741 | CC BY-SA 3.0 |