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math.AGSep 1, 2019
4
citations (OpenAlex)
authors
  • Reinier Kramer
  • Alexandr Popolitov
  • Sergey Shadrin
arXiv abstractPDF
paper

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture

arXiv:1909.02302 · doi:10.2422/2036-2145.201909_010

Abstract

We prove the conjecture of Do and Karev that the monotone orbifold Hurwitz numbers satisfy the Chekhov-Eynard-Orantin topological recursion.

arXiv comment11 pages. V2: Updated grant acknowledgments of A.P. and mail address of R.K. V3: Improved exposition

References in corpus (6)

  • Hermitean matrix model free energy: Feynman graph technique for all genera
  • Matrix Models for Random Partitions
  • Weighted Hurwitz numbers and topological recursion: an overview
  • Gromov-Witten invariants of target curves via Symplectic Field Theory
  • Loop equations and a proof of Zvonkine's qr-ELSV formula
  • Cut-and-join equation for monotone Hurwitz numbers revisited

Cited by in corpus (4)

  • Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type
  • Double Hurwitz numbers: polynomiality, topological recursion and intersection theory
  • Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots
  • Topological recursion on transalgebraic spectral curves and Atlantes Hurwitz numbers
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