Moduli of ags of sheaves and their K-theory

Abstract

We introduce moduli spaces of ags of sheaves on P 2 , and use them to obtain functors between the derived categories of the usual moduli spaces of sheaves on P 2 . These functors induce an action of the shue algebra on K-theory, which we reinterpret in terms of tautological classes. In particular, this action provides a K-theoretic version of Baranovsky’s operators from [Bar00].