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SUMMARY:Characterizing slopes for torus knots - Duncan McCoy (University o
 f Texas at Austin)
DTSTART:20170202T140000Z
DTEND:20170202T150000Z
UID:TALK70558@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We say that <span><span><img alt="" src="http://www-old.newton
 .ac.uk/js/MathJax/current/fonts/HTML-CSS/TeX/png/Math/Italic/141/0070.png"
 ><img alt="" src="http://www-old.newton.ac.uk/js/MathJax/current/fonts/HTM
 L-CSS/TeX/png/Main/Regular/141/002F.png"><img alt="" src="http://www-old.n
 ewton.ac.uk/js/MathJax/current/fonts/HTML-CSS/TeX/png/Math/Italic/141/0071
 .png"></span>&nbsp\;</span> is a characterizing slope for a knot <span><im
 g alt="" src="http://www-old.newton.ac.uk/js/MathJax/current/fonts/HTML-CS
 S/TeX/png/Math/Italic/141/004B.png">&nbsp\;</span> in the 3-sphere if the 
 oriented homeomorphism type of <span><span><img alt="" src="http://www-old
 .newton.ac.uk/js/MathJax/current/fonts/HTML-CSS/TeX/png/Math/Italic/141/00
 70.png"><img alt="" src="http://www-old.newton.ac.uk/js/MathJax/current/fo
 nts/HTML-CSS/TeX/png/Main/Regular/141/002F.png"><img alt="" src="http://ww
 w-old.newton.ac.uk/js/MathJax/current/fonts/HTML-CSS/TeX/png/Math/Italic/1
 41/0071.png"></span>&nbsp\;</span>-surgery is sufficient to determine the 
 knot <span><img alt="" src="http://www-old.newton.ac.uk/js/MathJax/current
 /fonts/HTML-CSS/TeX/png/Math/Italic/141/004B.png">&nbsp\;</span>  uniquely
 . I will discuss the problem of determining which slopes are  characterizi
 ng for torus knots\, paying particular attention to  non-integer slopes. T
 his problem is related to determining which knots  in <span><span><span><i
 mg alt="" src="http://www-old.newton.ac.uk/js/MathJax/current/fonts/HTML-C
 SS/TeX/png/Math/Italic/141/0053.png">&nbsp\;</span><span><img alt="" src="
 http://www-old.newton.ac.uk/js/MathJax/current/fonts/HTML-CSS/TeX/png/Main
 /Regular/100/0033.png">&nbsp\;</span></span>&nbsp\;</span> have Seifert fi
 bered surgeries.
LOCATION:Seminar Room 1\, Newton Institute
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