Arborescent knots, mutants - current status on their invariants
47 mins 4 secs,
683.05 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
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About this item
| Description: |
Pichai, R (Indian Institute of Technology)
Tuesday 11th April 2017 - 14:30 to 15:30 |
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| Created: | 2017-04-18 15:25 |
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| Collection: | Homology theories in low dimensional topology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Pichai, R |
| 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: | Computation of colored HOMFLY-PT polynomials for knots carrying arbitrary representations is still a challenging problem. First I will recapitulate the necessary tools for determining the colored knot invariant within Chern-Simons theory. Then, I will present our results on quantum Wigner 6j useful for writing polynomial form of the knot invariant. Further, we will discuss our results for mutant knot pairs. Finally, we summarize the current status on these polynomials which we periodically update on the website http://knotebook.org
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