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2013

Mirror symmetry for orbifold Hurwitz numbers

Bouchard, Vincent, Serrano, Daniel Hernandez, Liu, Xiaojun et al.

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We study mirror symmetry for orbifold Hurwitz numbers.

We show that the Laplace transform of orbifold Hurwitz numbers satisfy a differential recursion, which is then proved to be equivalent to the integral recursion of Eynard and Orantin with spectral curve given by the r-Lambert curve.
We argue that the r-Lambert curve also arises in the infinite framing limit of orbifold Gromov-Witten theory of [C3/(Z/rZ)].
Finally, we prove that the mirror model to orbifold Hurwitz numbers admits a quantum curve.

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Z. Vostrý,
1977
Earlier work this paper cites.
I.P. Goulden,
1994
Earlier work this paper cites.
R.M. Corless, G.H. Gonnet, D.E.G. Hare, D.J. Jeffrey and D.E. Knuth,
1996
Earlier work this paper cites.
I.P. Goulden and D.M. Jackson,
1997
Earlier work this paper cites.
R. Vakil, Harvard Thesis 1997
1997
Earlier work this paper cites.
M. Aganagic and C. Vafa,
2000
Earlier work this paper cites.
K. Hori and C. Vafa,
2000
Earlier work this paper cites.
T. Ekedahl, S. Lando, M. Shapiro, A. Vainshtein,
2001
Earlier work this paper cites.
S. Katz and M. Liu,
2002
Earlier work this paper cites.
M. Aganagic, A. Klemm, M. Mariño and C. Vafa,
2005
Earlier work this paper cites.
I.P. Goulden, D.M. Jackson, and R. Vakil,
2005
Earlier work this paper cites.
M. Aganagic, R. Dijkgraaf, A. Klemm, M. Mariño, and C. Vafa,
2006
Earlier work this paper cites.
R. Dijkgraaf and C. Vafa,
Original
2007
Earlier work this paper cites.

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