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Article Dans Une Revue Symmetry, Integrability and Geometry : Methods and Applications Année : 2017

Integrability, Quantization and Moduli Spaces of Curves

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Paolo Rossi
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Résumé

This paper has the purpose of presenting in an organic way a new approach to integrable (1 + 1)-dimensional field systems and their systematic quantization emerging from intersection theory of the moduli space of stable algebraic curves and, in particular, cohomological field theories, Hodge classes and double ramification cycles. This methods are alternative to the traditional Witten-Kontsevich framework and its generalizations by Dubrovin and Zhang and, among other advantages, have the merit of encompassing quantum integrable systems. Most of this material originates from an ongoing collaboration with A. Buryak, B. Dubrovin and J. Guere.

Dates et versions

hal-01612026 , version 1 (06-10-2017)

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Paolo Rossi. Integrability, Quantization and Moduli Spaces of Curves. Symmetry, Integrability and Geometry : Methods and Applications, 2017, 13, pp.060. ⟨10.3842/SIGMA.2017.060⟩. ⟨hal-01612026⟩
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