Extention cohomological fields theories and noncommutative Frobenius manifolds

Details Extention cohomological fields theories and noncommutative Frobenius manifolds Extention cohomological fields theories and noncommutative Frobenius manifolds

2002-06-19

arxiv.org/abs/math-ph/0206033v4

Journal of Geometry and Physics, 51 (2004), 387-403

Physics

Mathematical Physics

19 pages, LaTex

Scientific paper

10.1016/j.geomphys.2003.10.014

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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