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Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra

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arxiv 1404.3402 v3 pith:QBAG7ZL2 submitted 2014-04-13 hep-th math-phmath.COmath.MPnlin.SI

A. Alexandrov This is my paper · ORCID
classification hep-thmath-phmath.COmath.MPnlin.SI
keywords tau-functionsalgebraenumerativegeometryoperatorsrelationsallowbelong
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In this paper we establish relations between three enumerative geometry tau-functions, namely the Kontsevich-Witten, Hurwitz and Hodge tau-functions. The relations allow us to describe the tau-functions in terms of matrix integrals, Virasoro constraints and Kac-Schwarz operators. All constructed operators belong to the algebra (or group) of symmetries of the KP hierarchy.

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  1. More on Slavnov Products of Spin Chains and KP Hierarchy Tau Functions

    hep-th 2025-05 reject novelty 5.0 of 10

    Slavnov products of Bethe states in rational spin chains are shown to be KP tau functions, with new Wronskian and Baker-Akhiezer formulas, but the key identification relies on an unverified assumption.

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