A-model and generalized Chern-Simons theory

The relation between open topological strings and Chern-Simons theory was discovered by Witten. He proved that A-model on T∗M where M is a three-dimensional manifold is equivalent to Chern-Simons theory on M and that A-model on arbitrary Calabi-Yau 3-fold is related to Chern-Simons theory with instanton corrections. In present Letter we discuss multidimensional generalization of these results.