59 citations · 218 across the 44 of their papers we have counts for
7 papers · 1 filter
An algorithm for the Euclidean cell decomposition of a cusped strictly convex projective surface
Stephan Tillmann, Sampson Wong
Cooper and Long generalised Epstein and Penner's Euclidean cell decomposition of cusped hyperbolic manifolds of finite volume to non-compact strictly convex projective manifolds of…
Tessellating the moduli space of strictly convex projective structures on the once-punctured torus
Robert C. Haraway, Stephan Tillmann
We show that associating the Euclidean cell decomposition due to Cooper and Long to each point of the moduli space of framed strictly convex real projective structures of finite vo…
Deforming convex projective manifolds
Daryl Cooper, Darren Long, Stephan Tillmann
We study a properly convex real projective manifold with (possibly empty) compact, strictly convex boundary, and which consists of a compact part plus finitely many convex ends. We…
Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds
Alex Casella, Feng Luo, Stephan Tillmann
We generalise work of Young-Eun Choi to the setting of ideal triangulations with vertex links of arbitrary genus, showing that the set of all (possibly incomplete) hyperbolic cone-…
Thurston norm via Fox calculus
Stefan Friedl, Kevin Schreve, Stephan Tillmann
In 1976 Thurston associated to a -manifold a marked polytope in which measures the minimal complexity of surfaces representing homology classes and dete…
Complexity functions on 1-dimensional cohomology
Daryl Cooper, Stephan Tillmann
For a smooth, closed -manifold , we define an upper semi-continuous integer-valued complexity function on using Morse theory. This measures how far an in…