Generating functions of stable pair invariants via wall-crossings in derived categories
Algebraic Geometry
2008-06-03 v1
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 wall-crossing formula of the counting invariants of limit stable objects solves the above conjecture.
Keywords
Cite
@article{arxiv.0806.0062,
title = {Generating functions of stable pair invariants via wall-crossings in derived categories},
author = {Yukinobu Toda},
journal= {arXiv preprint arXiv:0806.0062},
year = {2008}
}
Comments
36pages