119 citations · 273 across the 6 of their papers we have counts for
9 papers
Combinatorial models for moduli spaces of open Riemann surfaces
Brad Safnuk
We present a simplified formulation of open intersection numbers, as an alternative to the theory initiated by Pandharipande, Solomon and Tessler. The relevant moduli spaces consis…
Topological recursion for open intersection numbers
Brad Safnuk
We present a topological recursion formula for calculating the intersection numbers defined on the moduli space of open Riemann surfaces. The spectral curve is …
The spectral curve of the Eynard-Orantin recursion via the Laplace transform
Olivia Dumitrescu, Motohico Mulase, Brad Safnuk +1
The Eynard-Orantin recursion formula provides an effective tool for certain enumeration problems in geometry. The formula requires a spectral curve and the recursion kernel. We pre…
Topological recursion for symplectic volumes of moduli spaces of curves
Julia Bennett, David Cochran, Brad Safnuk +1
We construct locally defined symplectic torus actions on ribbon graph complexes. Symplectic reduction techniques allow for a recursive formula for the symplectic volumes of these s…
The Kontsevich constants for the volume of the moduli of curves and topological recursion
Kevin M. Chapman, Motohico Mulase, Brad Safnuk
We give an Eynard-Orantin type topological recursion formula for the canonical Euclidean volume of the combinatorial moduli space of pointed smooth algebraic curves. The recursion…
The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers
Bertrand Eynard, Motohico Mulase, Brad Safnuk
We calculate the Laplace transform of the cut-and-join equation of Goulden, Jackson and Vakil. The result is a polynomial equation that has the topological structure identical to t…