A geometric categorification of tensor products of $U_q(s{l}_2)$-modules

Abstract

We give a purely geometric categorification of tensor products of finite-dimensional simple $U_q(s{l}_2)$-modules and $R$-matrices on them. The work is developed in the framework of category of perverse sheaves and the categorification theorems are understood as consequences of Deligne's theory of weights.

arXiv comment44pages, made up some mistakes in the proof of Theorem 4.2.4

References in corpus (4)

• Quiver varieties and tensor products
• Derived equivalences for symmetric groups and sl\_2-categorification
• Microlocal Perverse Sheaves
• A brief review of abelian categorifications

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• An approach to categorification of Verma modules
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• A geometric setting for quantum osp(1|2)