53 citations · 390 across the 41 of their papers we have counts for
45 papers
Spin structures and measures on the moduli space of curves
Paul Norbury
This article arose out of notes for a CIME summer school mini-course in Cetraro. In it we develop differential-geometric constructions on the moduli space ${\cal M}_{g,n}^{\rm spin…
Volumes of moduli spaces of hyperbolic surfaces with cone points
Lukas Anagnostou, Paul Norbury
In this paper we study volumes of moduli spaces of hyperbolic surfaces with geodesic, cusp and cone boundary components. We compute the volumes in some new cases, in particular whe…
Polynomial relations among kappa classes on the moduli space of curves
Maxim Kazarian, Paul Norbury
We construct an infinite collection of universal -- independent of -- polynomials in the Miller-Morita-Mumford classes $κ_m\in H^{2m}( \overline{\cal M}_{g,n},\bq)$, define…
An intersection-theoretic proof of the Harer-Zagier formula
Alessandro Giacchetto, Danilo Lewański, Paul Norbury
We provide an intersection-theoretic formula for the Euler characteristic of the moduli space of smooth curves. This formula reads purely in terms of Hodge integrals and, as a coro…
Airy structures and deformations of curves in surfaces
Wee Chaimanowong, Paul Norbury, Michael Swaddle +1
An embedded curve in a symplectic surface defines a smooth deformation space of nearby embedded curves. A key idea of Kontsevich and Soibelman arXiv:1701…
Enumerative geometry via the moduli space of super Riemann surfaces
Paul Norbury
In this paper we relate volumes of moduli spaces of super Riemann surfaces to integrals over the moduli space of stable Riemann surfaces . This allows us t…