The relation between open topological strings and Chem-Simons theory was discovered by Witten. He proved that A-model on T*M where M is a three-dimensional manifold is equivalent to Chem-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. (c) 2005 Elsevier B.V. All rights reserved.
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