English

Extention cohomological fields theories and noncommutative Frobenius manifolds

Mathematical Physics 2009-11-07 v4 High Energy Physics - Theory Algebraic Geometry math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0206033,
  title  = {Extention cohomological fields theories and noncommutative Frobenius manifolds},
  author = {S. M. Natanzon},
  journal= {arXiv preprint arXiv:math-ph/0206033},
  year   = {2009}
}

Comments

19 pages, LaTex