4 papers
Moving between 3-manifold triangulations is NP-hard
Stephan Tillmann, Anastasiia Tsvietkova
We show that \textsc{number of bistellar moves and sparse degree-two edge collapses for 3-sphere} is NP-hard. It follows that a similar problem for an arbitrary 3-manifold is NP-ha…
The Space of Strictly-convex Real-projective structures on a closed manifold
Daryl Cooper, Stephan Tillmann
This is an expository proof that, if is a compact -manifold with no boundary, then the set of holonomies of strictly-convex real-projective structures on is a subset of…
An invitation to Culler-Shalen theory in arbitrary characteristic
Grace S. Garden, Stephan Tillmann
In the seminal work of Culler and Shalen from 1983, essential surfaces in 3-manifolds are associated to ideal points of their -character varieties, and con…
Essential tori in 3-manifolds not detected in any characteristic
Grace S. Garden, Benjamin Martin, Stephan Tillmann
Infinite families of 3-dimensional closed graph manifolds and closed Seifert fibered spaces are exhibited, each member of which contains an essential torus not detected by ideal po…