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
Published: 1 January 2010
First available in Project Euclid: 24 November 2018
zbMATH: 1216.14009
MathSciNet: MR2683216
Digital Object Identifier: 10.2969/aspm/05910389
Subjects:
Primary:
14D20
Secondary:
14J32
,
18E30
Keywords:
Donaldson–Thomas invariant
,
stability condition
Rights: Copyright © 2010 Mathematical Society of Japan
