Extended cohomological field theories and noncommutative Frobenius manifolds

DOI10.1016/j.geomphys.2003.10.014zbMath1078.53092arXivmath-ph/0206033OpenAlexW1599657257MaRDI QIDQ557254

Sergey M. Natanzon

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0206033

zbMATH Keywords

Frobenius manifoldfield theory

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (2)

Singularities and noncommutative Frobenius manifolds ⋮ Hurwitz numbers from Feynman diagrams

Cites Work

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• Topological quantum field theories
• Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic curves
• Topological sigma models
• Systems of correlators and solutions of the WDVV equations
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Foundations of the theory of Klein surfaces
• Moduli of real algebraic surfaces, and their superanalogues. Differentials, spinors, and Jacobians of real curves
• On the structure of open-closed topological field theory in two dimensions

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