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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Null surgery on knots in L-spaces - Yi Ni (CALTECH
  (California Institute of Technology))
DTSTART;TZID=Europe/London:20170201T090000
DTEND;TZID=Europe/London:20170201T100000
UID:TALK70532AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/70532
DESCRIPTION:Co-author: Faramarz Vafaee 		(Caltech)        <br>
 <span>&nbsp\;<br>Let <span><img alt="" src="http:/
 /www-old.newton.ac.uk/js/MathJax/current/fonts/HTM
 L-CSS/TeX/png/Math/Italic/141/004B.png">&nbsp\;</s
 pan> be a knot in a rational homology sphere <span
 ><img alt="" src="http://www-old.newton.ac.uk/js/M
 athJax/current/fonts/HTML-CSS/TeX/png/Math/Italic/
 141/0059.png">&nbsp\;</span>. Then there is a uniq
 ue surgery on <span><img alt="" src="http://www-ol
 d.newton.ac.uk/js/MathJax/current/fonts/HTML-CSS/T
 eX/png/Math/Italic/141/004B.png">&nbsp\;</span> wh
 ich results a manifold with <span><span><span><spa
 n><img alt="" src="http://www-old.newton.ac.uk/js/
 MathJax/current/fonts/HTML-CSS/TeX/png/Math/Italic
 /141/0062.png">&nbsp\;</span><span><img alt="" src
 ="http://www-old.newton.ac.uk/js/MathJax/current/f
 onts/HTML-CSS/TeX/png/Main/Regular/100/0031.png">&
 nbsp\;</span></span><img alt="" src="http://www-ol
 d.newton.ac.uk/js/MathJax/current/fonts/HTML-CSS/T
 eX/png/Main/Regular/141/003E.png"><img alt="" src=
 "http://www-old.newton.ac.uk/js/MathJax/current/fo
 nts/HTML-CSS/TeX/png/Main/Regular/141/0030.png"></
 span>&nbsp\;</span>. We call this surgery the null
  surgery. When <span><img alt="" src="http://www-o
 ld.newton.ac.uk/js/MathJax/current/fonts/HTML-CSS/
 TeX/png/Math/Italic/141/0059.png">&nbsp\;</span>  
 is an L-space\, the null surgery remembers the inf
 ormation about the  genus and fiberedness of the k
 not. A special case of our theorem is that  if the
  resulting manifold is <span><span><span><span><im
 g alt="" src="http://www-old.newton.ac.uk/js/MathJ
 ax/current/fonts/HTML-CSS/TeX/png/Math/Italic/141/
 0053.png">&nbsp\;</span><span><img alt="" src="htt
 p://www-old.newton.ac.uk/js/MathJax/current/fonts/
 HTML-CSS/TeX/png/Main/Regular/100/0031.png">&nbsp\
 ;</span></span><img alt="" src="http://www-old.new
 ton.ac.uk/js/MathJax/current/fonts/HTML-CSS/TeX/pn
 g/Main/Regular/141/00D7.png"><span><span><img alt=
 "" src="http://www-old.newton.ac.uk/js/MathJax/cur
 rent/fonts/HTML-CSS/TeX/png/Math/Italic/141/0053.p
 ng">&nbsp\;</span><span><img alt="" src="http://ww
 w-old.newton.ac.uk/js/MathJax/current/fonts/HTML-C
 SS/TeX/png/Main/Regular/100/0032.png">&nbsp\;</spa
 n></span></span>&nbsp\;</span>\, then the dual kno
 t is a spherical braid. This is joint work with Fa
 ramarz Vafaee.</span>
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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