2014/04/30 by A. Alexandrov
Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Complex system #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Matrix (chemical analysis) #Matrix algebra #Superconformal algebra #hep-th #math-ph #math.CO #math.MP #nlin.SI
paper · pdf · doi:10.1007/s00220-015-2379-8
published as Commun.Math.Phys. 338 (2015) 195-249 · 65 pages; minor corrections
openalex publication_date 2015/05/02 · arxiv created 2015/05/13 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.