Prequantisations and stacky polytopes

lecturer:dr. Hironori Sakai

Abstract: We can produce a wide class of symplectic (toric) Deligne–Mumford stacks in a combinatorial way by using stacky polytopes. In this talk we discuss prequantisations of the stack associated to a stacky polytope. In particular we discuss the relation between the prequantisation line bundle and the lattice points of a stacky polytope.