关于LMOV不变量的显式公式
On explicit formulae of LMOV invariants
摘要：
几年前，我们开始研究复曲面Calabi-Yau 3-folds和Aganagic-Vafa膜（AV-膜）的开弦完整性不变量（LMOV不变量）。本文研究了在任意整数框架$τ$中有一个AV-膜的分解锥的情形，这是$S^3$中有一个框架解结的Chern-Simons理论的大$N$对偶.利用弦对偶的方法，我们计算了这一特殊模型的相应LMOV不变量的几个显式公式，其完整性已在另一篇论文中得到证明。
英文摘要：
We started a program to study the open string integrality invariants (LMOV invariants) for toric Calabi-Yau 3-folds with Aganagic-Vafa brane (AV-brane) several years ago. This paper is devoted to the case of resolved conifold with one out AV-brane in any integer framing $τ$, which is the large $N$ duality of Chern-Simons theory for a framed unknot with integer framing $τ$ in $S^3$. By using the methods from string dualities, we compute several explicit formulae of the corresponding LMOV invariants for this special model, whose integrality properties have been proved in a separated paper.
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