Abstract: (joint work with Emmanuel Wagner) Foams are surfaces with
singularities and can be thought of as cobordisms between graphs. I will
present a formula which associate with any foam a symmetric polynomial
in $N$ variables. Then I will explain that this formula extends to a
trivalent TQFT which categorifies the sl(N)-MOY calculus. This can be
used to define the equivariant sl(N) link homology. Surprisingly, the
same formula can be used categorify the sl(N) link invariant associated
with symmetric powers of the standard representation of $Uq(sl(N))$ (aka
the colored Jones polynomial in the case N=2).
Foam evaluation and Khovanov-Rozansky link homologies
04.06.2019 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location: