Tel Aviv University  Colloquium
 
Hello everyone,
 
The next colloquium talk will be held on:
 
Monday, 22/10/2012, 12:15, Schreiber 006, Tel Aviv University.
 
Speaker: Michael Polyak (Technion)
 
Title: Knot and 3-manifold invariants via counting graphs and surfaces
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloqiua, see
 <http://www.math.tau.ac.il/~ostrover/colloquium/colloq2012.html>
 
Yours,
Yaron
 
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Abstract:  I will start with a short overview of the so-called perturbative
invariants of links and 3-manifolds. While these invariants were intensively
studied in the last two decades, many questions, inconsistencies and
problems persist. The reason is that the construction is based on some
complicated Feynman integrals in the perturbative Chern-Simons theory and a
lot of technicalities are involved. In the main part of the talk I will
describe an alternative elementary combinatorial construction of these
invariants.
It involves counting similar trivalent graphs in a link diagram. This
approach
immediately extends to invariants of 3-manifolds. Our construction can be
restated in terms of counting certain surfaces ending on a link diagram. The
latter description seem to be a combinatorial counterpart of a so-called
"large N duality conjecture" by Gupakomar-Vafa, relating  Chern-Simons
theory to open strings.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <ostrover@post.tau.ac.il>