Triangulations in Dimensions 3 and 4: Discrete and Geometric Structures

Grant number: DP130103694 | Funding period: 2013 - 2017

Completed

Abstract

Recently there have been spectacular advances in understanding 3-dimensional spaces and the interaction between ideas in mathematical physics (quantum invariants) and such spaces. This project aims at practical methods for finding geometric structures and advancing our understanding of the information that physics is providing about these spaces.

Related publications (4)

Multisections of Piecewise Linear Manifolds

J Hyam Rubinstein, Stephan Tillmann

2020-01-01

Decomposing Heegaard splittings along separating incompressible surfaces in 3-manifolds

Kazuhiro Ichihara, Makoto Ozawa, J Hyam Rubinstein

2019-09-01

In this paper, by putting a separating incompressible surface in a 3-manifold into Morse position relative to the height function ..

ESSENTIAL NORMAL AND SPUN NORMAL SURFACES IN 3-MANIFOLDS

Ensil Kang, J Hyam Rubinstein

2018-11-01

<p>Normal and spun normal surfaces are key tools for algorithms in 3-dimensional geometry and topology, especially concerning esse..

Triangulations of 3–Manifolds with essential edges

Craig D Hodgson, J Hyam Rubinstein, Henry Segerman, Stephan Tillmann

2016-02-29

<jats:p> We define essential and strongly essential triangulations of <mml:math xmlns:mml=..

University of Melbourne Researchers

Joachim Rubinstein

Craig Hodgson