Donaldson Thomas invariant of P^1 scroll
Algebraic Geometry
2009-03-28 v3 Commutative Algebra
Abstract
Let X be a P^1 scroll (a compactification of a line bundle L) over a complex surafce 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 has is component on S not a multiple of [C]. For nonzero case, when the prime field insertion are above C, the invariant is shown to depend only on the analytic neighborhood of L in X.
Keywords
Cite
@article{arxiv.0711.4529,
title = {Donaldson Thomas invariant of P^1 scroll},
author = {Huai-Liang Chang},
journal= {arXiv preprint arXiv:0711.4529},
year = {2009}
}