4 papers
Sutured manifold hierarchies and the Thurston norm
Alessandro V. Cigna
By the classical work of Thurston and Gabai, the Thurston norm of any compact oriented irreducible -manifold with toroidal boundary is determined by finitely many taut sutured m…
A formula for the Euler class of foliations
Alessandro V. Cigna
Given a cooriented branched surface fully carrying a foliation , we use the dual graph of to define a simplicial 1-cycle rep…
The Thurston norm of graph manifolds
Alessandro V. Cigna
The Thurston norm of a closed oriented graph manifold is a sum of absolute values of linear functionals, and either each or none of the top-dimensional faces of its unit ball are f…
The Thurston norm of 2-bridge link complements
Alessandro V. Cigna
The Thurston norm is a seminorm on the second real homology group of a compact orientable 3-manifold. The unit ball of this norm is a convex polyhedron, whose shape's data (e.g. nu…