Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (1): 139-156.doi: 10.1016/S0252-9602(15)30084-9

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HURWITZ-HODGE INTEGRAL IDENTITIES FROM THE ORBIFOLD MARIÑO-VAFA FORMULA

Chen ZHAO   

  1. School of Mathematical Sciences;Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
  • Received:2014-10-21 Revised:2015-05-14 Online:2016-01-30 Published:2016-01-30

Abstract:

In this paper, we present some polynomial identities of Hurwitz-Hodge integral. Subsequently, we present how to obtain some Hurwitz-Hodge integral identities from the polynomial identity. Lastly, we give a recursion formula for Hurwitz-Hodge integral <τbLλgλ1>ga.

Key words: Hurwitz-Hodge integral, orbifold Mariño-Vafa formula, polynomial identities, recursion formula

CLC Number: 

  • 81Q30
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