On fermionic representation of the framed topological vertex
  The Gromov-Witten invariants of \mathbb{C}^3 with branes is encoded in the topological vertex which has a very complicated combinatorial expression. A simple formula for the topological vertex was proposed by Aganagic et al in the fermionic picture. We will propose a similar formula for the framed topological vertex and prove it in the case when there are one or two branes. 
Fusheng Deng and Jian Zhou
math.AG math-ph math.MP