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Let X be a P^1 scroll (a compactification of a line bundle L) over a complexsurafce S and assume S has a global two form with zero loci a smooth curve C.The Donaldson Thomas invariants of X is shown to be zero if the curve class hasis component on S not a multiple of [C]. For nonzero case, when the prime fieldinsertion are above C, the invariant is shown to depend only on the analyticneighborhood of L in X.

Donaldson Thomas invariant of P^1 scroll