Nick Salter

Cup products, the Johnson homomorphism and surface bundles over surfaces with multiple fiberings

Let

Surface bundles over surfaces with arbitrarily many fiberings

\Sigma_g \to E \to \Sigma_h

Cup products in surface bundles, higher Johnson invariants, and MMM classes

be a surface bundle over a surface with monodromy representation

On the non-realizability of braid groups by diffeomorphisms

\rho: \pi_1 \Sigma_h \to \operatorname{Mod}(\Sigma_g)

On the monodromy group of the family of smooth plane curves

contained in the Torelli group

A Note on the Critical Group of a Line Graph

\mathcal{I}_g

Section problems for configurations of points on the Riemann sphere

. In this paper we express the cup product structure in

The Birman exact sequence does not virtually split

H^*(E, \mathbb{Z})

Arithmeticity of the monodromy of some Kodaira fibrations.

in terms of the Johnson homomorphism

Monodromy and vanishing cycles in toric surfaces

\tau: \mathcal{I}_g \to \wedge^3 (H_1 (\Sigma_g, \mathbb{Z}))