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arxiv: 0909.1164 · v2 · submitted 2009-09-07 · 🧮 math.GT · hep-th· math-ph· math.CO· math.MP

Universal Algebras of Hurwitz Numbers

classification 🧮 math.GT hep-thmath-phmath.COmath.MP
keywords algebraalgebrashurwitznumbersuniversalcardy-frobeniusclosedclosely
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Infinite-dimensional universal Cardy-Frobenius algebra is constructed, which unifies all particular algebras of closed and open Hurwitz numbers and is closely related to the algebra of differential operators, familiar from the theory of Generalized Kontsevich Model.

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