Extention cohomological fields theories and noncommutative Frobenius manifolds
arXiv:math-ph/0206033 · doi:10.1016/j.geomphys.2003.10.014
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.
19 pages, LaTex