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arxiv: 1209.4242 · v4 · pith:Z36VK5NTnew · submitted 2012-09-19 · 🧮 math.AG · math-ph· math.MP· math.QA

Moduli of Flags of Sheaves and their K-theory

classification 🧮 math.AG math-phmath.MPmath.QA
keywords modulisheavesflagsfunctorsk-theoryspacesactionalgebra
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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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