
The relation between open topological strings and Chern-Simons theory was discovered by E. 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 paper we discuss multidimensional generalization of these results.
11 pages, latex, minor changes
Applications of differential geometry to physics, generalized Chern-Simons theory, High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Symplectic aspects of Floer homology and cohomology, FOS: Physical sciences, Calabi-Yau manifolds (algebro-geometric aspects), Topological field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory
Applications of differential geometry to physics, generalized Chern-Simons theory, High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Symplectic aspects of Floer homology and cohomology, FOS: Physical sciences, Calabi-Yau manifolds (algebro-geometric aspects), Topological field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory
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