Quantization of the algebra of chord diagrams
Quantization of the algebra of chord diagrams
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by links in the manifold $\Sigma \times [0,1]$ where $\Sigma $ is an oriented surface. This algebra has a filtration and the associated graded algebra $L_{Gr}(\Sigma)$ is naturally a Poisson algebra. There is a Poisson algebra …