Characterizing slopes for torus knots

56 mins 10 secs,  350.48 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  851.97 kbits/sec
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Description: McCoy, D (University of Texas at Austin)
Thursday 2nd February 2017 - 14:00 to 15:00
 
Created: 2017-02-14 09:38
Collection: Homology theories in low dimensional topology
Publisher: Isaac Newton Institute
Copyright: McCoy, D
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: We say that is a characterizing slope for a knot in the 3-sphere if the oriented homeomorphism type of -surgery is sufficient to determine the knot uniquely. I will discuss the problem of determining which slopes are characterizing for torus knots, paying particular attention to non-integer slopes. This problem is related to determining which knots in have Seifert fibered surgeries.
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