Journal article
On minimal ideal triangulations of cusped hyperbolic 3-manifolds
W Jaco, H Rubinstein, J Spreer, S Tillmann
Journal of Topology | WILEY | Published : 2020
DOI: 10.1112/topo.12127
Abstract
Previous work of the authors studies minimal triangulations of closed 3-manifolds using a characterisation of low degree edges, embedded layered solid torus subcomplexes and 1-dimensional (Formula presented.) -cohomology. The underlying blueprint is now used in the study of minimal ideal triangulations. As an application, it is shown that the monodromy ideal triangulations of the hyperbolic once-punctured torus bundles are minimal.
Grants
Awarded by Mathematisches Forschungsinstitut Oberwolfach
Funding Acknowledgements
This research was supported through the programme 'Research in Pairs' by the Mathematisches Forschungsinstitut Oberwolfach in 2017. The authors would like to thank the staff at MFO for an excellent collaboration environment. The first author is partially supported by NSF grant DMS-1308767 and the Grayce B. Kerr Foundation. The third author is partially supported by the Einstein Foundation (project 'Einstein Visiting Fellow Santos'). Research of the second and the fourth authors is supported in part under the Australian Research Council's Discovery funding scheme (project number DP160104502). Tillmann thanks the DFG Collaborative Center SFB/TRR 109 at TU Berlin, where parts of this work have been carried out, for its hospitality.