New approaches to integrable hierarchies of topological type

A. Y. Buryak

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 5, pp. 841-887

Résumé

This survey is devoted to a large class of systems of partial differential equations which on the one hand appear in classical problems of mathematical physics and on the other hand provide an efficient tool for the description of enumerative invariants in algebraic geometry. Particular attention is paid to new approaches to these systems, in particular, to the approach proposed in a recent paper of the author. Bibliography: 57 titles.

Détail

Keywords: moduli spaces of curves, cohomological field theories, systems of partial differential equations.

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