http://jp.arxiv.org/abs/0707.3603 http://jp.arxiv.org/abs/0707.2003 http://jp.arxiv.org/abs/math/0512176

http://jp.arxiv.org/abs/0707.3216

http://jp.arxiv.org/abs/0707.3572 In a sequel we will use these to prove the integrality conjecture for Gopakumar-Vafa invariants.

コンノくんと昼食．