Publications Influence

Share This Author

Cohomological structure in soliton equations and Jacobian varieties

- M. Mulase
- Mathematics
- 1984

On etudie la structure des orbites du systeme dynamique definie par la hierarchie KP totale. On montre que chaque orbite est localement isomorphe a un certain groupe de cohomologie associe a une… Expand

Mirror symmetry for orbifold Hurwitz numbers

- V. Bouchard, D. H. Serrano, Xiaojun Liu, M. Mulase
- Mathematics
- 21 January 2013

We study mirror symmetry for orbifold Hurwitz numbers. We show that the Laplace transform of orbifold Hurwitz numbers satisfy a dierential recursion, which is then proved to be equivalent to the… Expand

CATEGORY OF VECTOR BUNDLES ON ALGEBRAIC CURVES AND INFINITE DIMENSIONAL GRASSMANNIANS

- M. Mulase
- Mathematics
- 1 September 1990

Equivalence between the following categories is established: 1) A category of arbitrary vector bundles on algebraic curves defined over a field of arbitrary characteristic, and 2) a category of… Expand

The spectral curve of the Eynard-Orantin recursion via the Laplace transform

- Olivia Dumitrescu, M. Mulase, B. Safnuk, Adam J. Sorkin
- Mathematics
- 6 February 2012

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 present a uniform… Expand

ALGEBRAIC THEORY OF THE KP EQUATIONS

- M. Mulase
- Mathematics
- 2002

0. Introduction 1 1. The KP equation and elliptic functions 3 2. The spectral curve of a differential operator 6 3. Grassmannians and the geometric inverse scattering 14 4. Iso-spectral deformations… Expand

Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy

We present in this paper a differential version of Mirzakhani's recursion relation
for the Weil-Petersson volumes of the moduli spaces of bordered Riemann surfaces. We
discover that the… Expand

Solvability of the super KP equation and a generalization of the Birkhoff decomposition

- M. Mulase
- Mathematics
- 1 February 1988

SummaryThe unique solvability of the initial value problem for the total hierarchy of the super Kadomtsev-Petviashvili system is established. To prove the existence we use a generalization of the… Expand

Ribbon Graphs, Quadratic Differentials on Riemann Surfaces, and Algebraic Curves Defined over $\bar Q$

- M. Mulase, M. Penkava
- Mathematics
- 25 November 1998

It is well known that there is a bijective correspondence between metric ribbon graphs and compact Riemann surfaces with meromorphic Strebel differentials. In this article, it is proved that… Expand

The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers

Author(s): Eynard, Bertrand; Mulase, Motohico; Safnuk, Brad | Abstract: We calculate the Laplace transform of the cut-and-join equation of Goulden, Jackson and Vakil. The result is a polynomial… Expand

...

1

2

3

4

5

...