Orbifold Hurwitz numbers and Eynard–Orantin invariants

@inproceedings{Do2012OrbifoldHN,
  title={Orbifold Hurwitz numbers and Eynard–Orantin invariants},
  author={Norman Do and Oliver Leigh and Paul T. Norbury},
  year={2012}
}
We prove that a generalisation of simple Hurwitz numbers due to Johnson, Pandharipande and Tseng satisfy the topological recursion of Eynard and Orantin. This generalises the Bouchard-Marino conjecture and places Hurwitz-Hodge integrals, which arise in the Gromov--Witten theory of target curves with orbifold structure, in the context of the Eynard-Orantin topological recursion. 

Figures from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 26 CITATIONS

Towards the topological recursion for double Hurwitz numbers

VIEW 5 EXCERPTS
CITES BACKGROUND & METHODS

Airy structures for semisimple Lie algebras

VIEW 1 EXCERPT
CITES METHODS

Super Quantum Airy Structures

VIEW 1 EXCERPT
CITES BACKGROUND

References

Publications referenced by this paper.
SHOWING 1-10 OF 35 REFERENCES

Safnuk The Laplace transform of the cut-and-join equation and the Bouchard– Mariño conjecture on Hurwitz numbers Publications of the Research Institute for

  • Bertrand Eynard, Motohico Mulase, Brad
  • Mathematical Sciences
  • 2011
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL

On double Hurwitz numbers with completed cycles

Pandharipande and H . - H . Tseng Abelian Hurwitz – Hodge integrals Michigan Math

  • R. Johnson
  • Orbifolds in mathematics and physics
  • 2011

and Manabe Masahide The Volume Conjecture , Perturbative Knot Invariants , and Recursion Relations for Topological Strings

  • N. Orantin, S. Shadrin, S. Lando, M. Shapiro, A. Vainshtein
  • Nucl . Phys . B
  • 2011