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PRODID:-//Virginia Tech//VT Calendar//EN
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DTSTAMP:20201013T185000Z
UID:1602251045123@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20201013T185000Z
DTEND:20201013T194000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
 Geometry and Topology\n
 \n
 Josh Wang from Harvard 
 will be speaking.\n
 \n
 The title is "Floer and 
 Khovanov homologies of band sums."\n
 \n
 This 
 is a virtual meeting that takes place over Zoom.\n
 \n
 Contact 
 Honghao Gao (gaohongh@msu.edu) 
 for more information.\n
 \n
 Given a nontrivial 
 band sum of two knots, we may add full twists 
 to the band to obtain a family of knots indexed 
 by the integers. In this talk, I'll show 
 that the knots in this family have the same Heegaard 
 and instanton knot Floer homology but 
 distinct Khovanov homology, generalizing a result 
 of M. Hedden and L. Watson. A key component 
 of the argument is a proof that each of 
 the three knot homologies detects the trivial 
 band. The main application is a verification 
 of the generalized cosmetic crossing conjecture 
 for split links.\n\n
 Price: free\n
 Sponsor: Department of Mathematics\n
 Sponsor's Homepage: https://www.math.msu.edu/\n
 Contact name: Department of Mathematics\n
 Contact phone: (517) 353-0844\n
 for more info visit the web at:\n 
 https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Zoom link provided on Math Seminars page
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