Geometric recursion
Apparaît également dans la collection : Representation theory, mathematical physics and integrable systems / Théorie des représentations, physique mathématique et systèmes intégrables
Geometric Recursion is a very general machinery for constructing mapping class group invariants objects associated to two dimensional surfaces. After presenting the general abstract definition we shall see how a number of constructions in low dimensional geometry and topology fits into this setting. These will include the Mirzakhani-McShane identies, mapping class group invariant closed forms on Teichmüller space (including the Weil-Petterson symplectic form) and the Goldman symplectic form.
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