Geometry and Topology Seminar

Khovanov gave a graphical calculus for a categorification of a Heisenberg algebra. In this talk we describe a diagrammatic categorification of a Clifford algebra and its Fock space representation via differential graded categories.
The motivation is from the {\em contact categories} $\mathcal{C}(\Sigma)$ of infinite strips $\Sigma$ introduced by Honda which describe contact structures on $\Sigma \times [0,1]$.