Singularities and noncommutative Frobenius manifolds

DOI10.1134/S0081543807040104zbMath1156.53320OpenAlexW2067920770MaRDI QIDQ2377586

Sergey M. Natanzon

Publication date: 19 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543807040104

zbMATH Keywords

2D topological field theorycommutative Frobenius algebraquaternionic Landau-Ginzburg modelquaternionic miniversal deformations

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Topological quantum field theories (aspects of differential topology) (57R56) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Cites Work

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• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Extended cohomological field theories and noncommutative Frobenius manifolds
• Topological quantum field theories
• Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic curves
• On a linear structure of the quotient variety by a finite reflexion group
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• TOPOLOGICAL LANDAU-GINZBURG MODELS
• On the structure of open-closed topological field theory in two dimensions
• Formulas for \(A_n\)- and \(B_n\)-solutions of WDVV equations

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