Abstract
The notion of limit stability on Calabi–Yau 3-folds is introduced by the author to construct an approximation of Bridgeland–Douglas stability conditions at the large volume limit. It has also turned out that the wall-crossing phenomena of limit stable objects seem relevant to the rationality conjecture of the generating functions of Pandharipande–Thomas invariants. In this article, we shall make it clear how wallcrossing formula of the counting invariants of limit stable objects solves the above conjecture.
Information
Digital Object Identifier: 10.2969/aspm/05910389