Fetching the paper…
Reading the bibliography…
We prove the Bouchard-Mari\~no Conjecture for the framed one-legged topological vertex by deriving the Eynard-Orantin type recursion relations from the cut-and-join equation satisfied by the relevant triple Hodge integrals.
M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
1994
Earlier work this paper cites.
I.P. Goulden, D. M. Jackson,A. Vainshtein, The number of ramified coverings of the sphere by the torus and surfaces of higher genera
2000
Earlier work this paper cites.
A.M. Li, G. Zhao, Q. Zheng, The number of ramifed coverings of a Riemann surface by Riemann surface
2000
Earlier work this paper cites.
T. Ekedahl, S. Lando, M. Shapiro, A. Vainshtein. Hurwitz numbers and intersections on moduli spaces of curves
2001
Earlier work this paper cites.
S. Katz, C.-C. Liu, Enumerative geometry of stable maps with Lagrangian boundary condtions and multiple covers of the disc
2001
Cited alongside, same era.
M. Mariño, C. Vafa, Framed knots at large N
2002
Cited alongside, same era.
C.-C. Liu, K. Liu, J. Zhou, A proof of a conjecture of Mariño-Vafa on Hodge Integrals
2003
Cited alongside, same era.
Cited in the paper.
V. Boucharda, A. Klemmb, Marcos Mariño, S. Pasquetti, Remodeling the B-model
Cited in the paper.
V. Bouchard, M. Mariño, Hurwitz numbers, matrix models and enumerative geometry
Cited in the paper.
L. Chen, Symmetrized cut-join equation of Marino-Vafa formula
Cited in the paper.
L. Chen, Bouchard-Klemm-Mariño-Pasquetti Conjecture for ℂ 3 {\mathbb{C}}^{3}
Cited in the paper.
Cited in the paper.
B. Eynard, N. Orantin, Invariants of algebraic curves and topological expansion
Cited in the paper.
J. Li, C.-C. Liu, K. Liu, J. Zhou, A mathematical theory of the topological vertex
Cited in the paper.
M. Mariño, Open string amplitudes and large order behavior in topological string theory
Cited in the paper.
A. Okounkov, R. Pandharipande, Hodge integrals and invariants of the unknot
2004
Later among the works it cites.
M. Aganagic, A. Klemm, M. Mariño, C. Vafa, The topological vertex
2005
Later among the works it cites.
C.-C. Liu, K. Liu, J. Zhou, A formula of two-partition Hodge integrals
2007
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…