Moduli spaces

PRUNED HURWITZ NUMBERS

Norman Do, Paul Norbury

2018-05-01

Simple Hurwitz numbers count branched covers of the Riemann sphere and are well-studied in the literature. We define a new enumera..

Quantum spectral curve for the Gromov-Witten theory of the complex projective line

Petr Dunin-Barkowski, Motohico Mulase, Paul Norbury, Alexander Popolitov, Sergey Shadrin

2017-05-01

We construct the quantum curve for the Gromov–Witten theory of the complex projective line.

Simple geodesics and Markoff quads

Yi Huang, Paul Norbury

2017-02-01

The action of the mapping class group of the thrice-punctured projective plane on its GL(2,C) character variety produces an algori..

Models of discretized moduli spaces, cohomological field theories, and Gaussian means

Jorgen Ellegaard Andersen, Leonid O Chekhov, Paul Norbury, Robert C Penner

2015-12-01

We prove combinatorially the explicit relation between genus filtrated s-loop means of the Gaussian matrix model and terms of the ..

STRING AND DILATON EQUATIONS FOR COUNTING LATTICE POINTS IN THE MODULI SPACE OF CURVES

Paul Norbury

2013-04-01

We prove that the Eynard-Orantin symplectic invariants of the curve xy - y2 = 1 are the orbifold Euler characteristics of the modu..