Towards thin triangulations of 3-manifolds
Kristóf Huszár
November 4, 2021, 12:20 in S6
Abstract
There are several computationally hard problems about triangulated 3-manifolds that admit an efficient algorithmic solution, provided the input triangulation is sufficiently "thin." Exhibiting such triangulations is therefore a compelling task, however, this can be limited by the topology of the underlying manifold.
In this talk I give an overview of recent results that link the key combinatorial parameters in the above context to classical topological invariants of 3-manifolds in a quantitative way. We establish these results through constructions involving generalized Heegaard splittings and layered triangulations of 3-manifolds.
Joint work with Jonathan Spreer and Uli Wagner.
