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SUMMARY:Structure of the colored HOMFLY knot homology - Marko Stosic\, Lis
 bon
DTSTART:20130501T150000Z
DTEND:20130501T160000Z
UID:TALK43940@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION: In this talk I'll present the conjectures that predict a very
  rigid structure on colored HOMFLY homology (that categorifies colored HOM
 FLY knot polynomial). The main ingredients are the "colored" differentials
  that relate homological invariants of knots colored by different represen
 tations. Surprisingly\, we found new symmetries that cannot be seen on the
  polynomial level. The conjectures are motivated by the physics/geometry i
 nsights that include BPS states counting and Landau-Ginzburg theories. \nT
 his very large structure on colored HOMFLY homology theories also enables 
 computation of homologies for various knots\, and relates them to the supe
 r-A-polynomial that categorifies the A-polynomial of a knot.\nThis talk is
  based on joint work with Sergei Gukov and Eugene Gorsky.
LOCATION:MR13
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