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Title:
KP integrability of triple Hodge integrals
Speaker:
Abstract:
Enumerative geometry invariants are closely related to integrable systems. In particular, unexpectedly often the generating functions of the enumeration geometry invariants are tau-functions of integrable hierarchies of KP type. In my talk, I will describe the identification of the generating function of the triple Hodge integrals satisfying the Calabi-Yau condition with a tau-function of the KP hierarchy. In this identification, an infinite-dimensional group acting on the space of the solutions of the KP hierarchy plays an important role. The corresponding cubic cut-and-join description will also be constructed.
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