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It has been proposed recently that the topological A-model string theory onlocal toric Calabi-Yau manifolds has a two parameter extension. Amplitudes ofthe two parameter topological strings can be computed using a diagrammaticmethod called the refined topological vertex. In this paper we study propertiesof the refined amplitudes under the flop transition of toric Calabi-Yauthree-folds. We also discuss that the slicing invariance and the floptransition imply a simple formula for the homological sl(N) invariants of theHopf link. The new expression for the invariants gives a simple refinement ofthe Hopf link invariant of Chern-Simons theory.

Flop Invariance of Refined Topological Vertex and Link Homologies