2016/01/12 by Ke, Hua-Zhong
#14N35 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1601.02758
Let X and X' be nonsingular projective 3-folds related by a flop of a disjoint union of (-2)-curves. We prove a flop formula relating the Donaldson-Thomas invariants of X to those of X', which implies some simple relations among BPS state counts. As an application, we show that if X satisfies the GW/DT correspondence for primary insertions and descendants of the point class, then so does X'. We also propose a conjectural flop formula for general flops.