A class of perverse sheaves on framed representation varieties of the Jordan quiver

We study a class of simple perverse sheaves on framed representation varieties of the Jordan quiver in analogy with the one in Li (2013) [17]. We show that the associated local systems are always trivial. We use this class and the top Borel–Moore homology of certain related Steinberg-type varieties to give a geometric realization of the group algebra of a product of symmetric groups, a tensor product of Schur algebras, and a tensor product of Fock spaces.