Abstract

Abstract. We construct a weak representation of the category of framed affine tangles on a disjoint union of triangulated categories D2n. The categories we use are that of coherent sheaves on Springer fibers over a nilpotent element of sl2n with two equal Jordan blocks. This representation allows us to enumerate the irreducible objects in the heart of the exotic t-structure on D2n by crossingless matchings of 2n points on a circle. We also describe the algebra of endomorphisms of the direct sum of the irreducible objects. 1.

Citations