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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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