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arxiv: 0709.1738 · v1 · submitted 2007-09-12 · 🧮 math-ph · math.CO· math.MP

Symmetrized cut-join equation of Marino-Vafa formula

classification 🧮 math-ph math.COmath.MP
keywords cut-joinequationformulamarino-vafasymmetrizedapplicationsapplyingchanging
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In this note, we symmetrized the cut-join equation from the proof of Marino-Vafa formula by applying a transcendental changing of variable. One can derive more recursion formulas of Hodge integrals out of this polynomial equations. We also give some applications.

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