Some sequences of moduli spaces of sheaves on K3 surfaces

A categorical sl_2 action on some moduli spaces of sheaves

We study certain sequences of moduli spaces of sheaves on k3 surfaces.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 mukaiflops and derived categories of moduli spaces that are birational via stratified mukaiflops.