Stable pair invariants on Calabi–Yau threefolds containing ℙ2
Stable pair invariants on Calabi–Yau threefolds containing ℙ2
We relate Pandharipande-Thomas stable pair invariants on Calabi-Yau 3-folds containing the projective plane with those on the derived equivalent orbifolds via the wall-crossing method.The difference is described by generalized Donaldson-Thomas invariants counting semistable sheaves on the local projective plane, whose generating series form theta-type series for indefinite lattices.Our result also …