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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Structure of the colored HOMFLY knot homology - Ma
rko Stosic\, Lisbon
DTSTART;TZID=Europe/London:20130501T160000
DTEND;TZID=Europe/London:20130501T170000
UID:TALK43940AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/43940
DESCRIPTION: In this talk I'll present the conjectures that pr
edict a very rigid structure on colored HOMFLY hom
ology (that categorifies colored HOMFLY knot polyn
omial). The main ingredients are the "colored" dif
ferentials that relate homological invariants of k
nots colored by different representations. Surpris
ingly\, we found new symmetries that cannot be see
n on the polynomial level. The conjectures are mot
ivated by the physics/geometry insights that inclu
de BPS states counting and Landau-Ginzburg theorie
s. \nThis very large structure on colored HOMFLY h
omology theories also enables computation of homol
ogies for various knots\, and relates them to the
super-A-polynomial that categorifies the A-polynom
ial of a knot.\nThis talk is based on joint work w
ith Sergei Gukov and Eugene Gorsky.
LOCATION:MR13
CONTACT:Ivan Smith
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