Knots and links from the Thompson groups
1 hour 3 mins,
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About this item
| Description: |
Jones, V (Vanderbilt University, University of California, Berkeley, University of Auckland)
Wednesday 14th June 2017 - 13:00 to 14:00 |
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| Created: | 2017-06-14 16:44 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Jones, V |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | We will begin with a general procedure for constructing actions ofgroups of fractions of certain categories and give a few examples of this procedure.We then realise the Thompson groups F, T and V as groups of fractions of categories of forestsand obtain many actions of these groups on many spaces. By representing the category of forests on Conway tangles one obtains constructions of knots and links from F and T and we can show that any link can be obtained in this way. Applying a TQFT gives unitary representations on Hilbert spacewhose coefficients are the TQFT link invariants.
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