Moduli of Flags of Sheaves and their K-theory

2012/09/19 by Andrei Neguţ, Negut, Andrei · 1 citation
Mathematics · #14J60 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1209.4242

openalex publication_date 2012/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce moduli spaces of flags of sheaves on P², and use them to obtain functors between the derived categories of the usual moduli spaces of sheaves on P². These functors induce an action of the shuffle algebra on K-theory, by certain explicit formulas.

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