Moduli of Flags of Sheaves and their K-theory

We introduce moduli spaces of flags 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 shuffle algebra on K-theory, by certain explicit formulas.

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Quantum Toroidal and Shuffle Algebras, R-matrices and a Conjecture of Kuznetsov

The Shuffle Algebra Revisited