Geometry, Topology and Dynamics Seminar
Lucas Culler
MIT
Elliptic curves and knot homology
Abstract: Given a smooth elliptic curve $E$ over the complex numbers we construct a functor-valued invariant of tangles in $\mathbb{R}^2 \times I$,
extending a known braid group action on the derived category of coherent sheaves over $E^n$. The invariant associated to a closed link $L$ is related
to odd Khovanov homology, and can be described in terms of the double cover of $\mathbb{R}^3$ branched over $L$.
Monday March 31, 2014 at 3:00 PM in SEO 636