Hochschild homology of certain Soergel bimodules
  In this paper we compute Hochschild homology of certain Soergel bimodules. Moreover, we describe explicitly the graded bimodule maps between Soergel bimodules. This computations are motivated by the categorifications of the colored HOMFLY-PT polynomial for links via Hochschild homology of Soergel bimodules. 
Marko Stosic