Constructions of asymmetric L-space knots
1 hour 8 mins,
263.79 MB,
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About this item
| Description: |
Baker, K (University of Miami)
Wednesday 1st February 2017 - 10:00 to 11:00 |
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| Created: | 2017-02-14 09:40 |
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| Collection: | Homology theories in low dimensional topology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Baker, K |
| 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: | Until July 2014, all known L-spaces admitted an involution. Then, through a clever search of the SnapPy census, Dunfield-Hoffman-Licata found examples of asymmetric one-cusped hyperbolic manifolds with two lens space fillings and consequently many asymmetric L-space fillings. Yet since none of these lens space fillings were S3S3, so still stood the conjecture that L-space knots in S3S3 are strongly invertible.
In this talk we present (1) a `natural' realization and vast generalization of the Dunfield-Hoffman-Licata examples (joint work with Hoffman and Licata) and (2) the first construction of asymmetric L-space knots in S3S3 (joint work with Luecke). Both of these constructions produce asymmetric one-cusped hyperbolic manifolds with two fillings that are double branched covers of alternating links, though the approaches are different. |
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| iPod Video * | 480x270 | 529.64 kbits/sec | 263.79 MB | View | Download | |
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