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Extention cohomological fields theories and noncommutative Frobenius manifolds

S. M. Natanzon
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Abstract

We construct some extension ({\it Stable Field Theory}) of Cohomological Field Theory. The Stable Field Theory is a system of homomorphisms to some vector spaces generated by spheres and disks with punctures. It is described by a formal tensor series, satisfying to some system of "differential equations". In points of convergence the tensor series generate special noncommutative analogues of Frobenius algebras, describing 'Open-Closed' Topological Field Theories.

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S. M. Natanzon. 2005-10-04. Extention cohomological fields theories and noncommutative Frobenius manifolds. https://doi.org/10.1016/j.geomphys.2003.10.014

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