Extended cohomological field theories and noncommutative Frobenius manifolds |
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| Institution: | 1. Niels Bohr Institute, Copenhagen University, Denmark;2. IMAPP, Radboud University, Nijmengen, The Netherlands;3. Steklov Mathematical Institute and Interdisciplinary Scientific Center J.-V. Poncelet, Moscow, Russia;4. Michigan State University, East Lansing, USA;1. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan;2. KMI, Nagoya University, Nagoya, 464-8602, Japan;3. Lebedev Physics Institute, Moscow 119991, Russia;4. ITEP, Moscow 117218, Russia;5. Institute for Information Transmission Problems, Moscow 127994, Russia;6. MIPT, Dolgoprudny, 141701, Russia;1. Dip. di Matematica e Informatica, Università di Perugia, via Vanvitelli 1, 06123 Perugia, Italy;2. Department of Mathematics, University of Nebraska, Lincoln, NE 68588-0130, USA |
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| Abstract: | We construct some extension of cohomological field theories (stable 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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