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arxiv: 1009.4887 · v3 · pith:MBHJCP3Pnew · submitted 2010-09-24 · ✦ hep-th · math-ph· math.CO· math.MP

Cut-and-Join operator representation for Kontsevich-Witten tau-function

classification ✦ hep-th math-phmath.COmath.MP
keywords cut-and-joinkontsevich-wittenoperatorrepresentationtau-functionapplicationsconstraintsconstruct
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In this short note we construct a simple cut-and-join operator representation for Kontsevich-Witten tau-function that is the partition function of the two-dimensional topological gravity. Our derivation is based on the Virasoro constraints. Possible applications of the obtained expression are discussed.

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