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A categorical sl_2 action on some moduli spaces of sheaves (2009.08522v3)
Published 17 Sep 2020 in math.AG and math.RT
Abstract: We study certain sequences of moduli spaces of sheaves on K3 surfaces, building on work of Markman, Yoshioka, and Nakajima. We show that these sequences can be given the structure of a geometric categorical sl_2 action in the sense of Cautis, Kamnitzer, and Licata. As a corollary, we get an equivalence between derived categories of some moduli spaces that are birational via stratified Mukai flops.