Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere
A Björner, FH Lutz - Experimental Mathematics, 2000 - Taylor & Francis
We present a computer program based on bistellar operations that provides a useful tool for
the construction of simplicial manifolds with few vertices. As an example, we obtain a 16 …
the construction of simplicial manifolds with few vertices. As an example, we obtain a 16 …
Triangulated manifolds with few vertices: Combinatorial manifolds
FH Lutz - arXiv preprint math/0506372, 2005 - arxiv.org
arXiv:math/0506372v1 [math.CO] 18 Jun 2005 Page 1 arXiv:math/0506372v1 [math.CO] 18 Jun
2005 Triangulated Manifolds with Few Vertices: Combinatorial Manifolds Frank H. Lutz There …
2005 Triangulated Manifolds with Few Vertices: Combinatorial Manifolds Frank H. Lutz There …
The Pachner graph and the simplification of 3-sphere triangulations
BA Burton - Proceedings of the twenty-seventh annual symposium …, 2011 - dl.acm.org
It is important to have fast and effective methods for simplifying 3-manifold triangulations
without losing any topological information. In theory this is difficult: we might need to make a …
without losing any topological information. In theory this is difficult: we might need to make a …
Small hyperbolic 3-manifolds with geodesic boundary
We classify the orientable finite-volume hyperbolic 3-manifolds having nonempty compact
totally geodesic boundary and admitting an ideal triangulation with at most four tetrahedra …
totally geodesic boundary and admitting an ideal triangulation with at most four tetrahedra …
Algorithms and data structures for computer topology
V Kovalevsky - Digital and image geometry: advanced lectures, 2002 - Springer
The paper presents an introduction to computer topology with applications to image
processing and computer graphics. Basic topological notions such as connectivity, frontier …
processing and computer graphics. Basic topological notions such as connectivity, frontier …
A census of exceptional Dehn fillings
NM Dunfield - Characters in low-dimensional topology, 2018 - books.google.com
This paper describes the complete list of all 205,822 exceptional Dehn fillings on the 1-
cusped hyperbolic 3-manifolds that have ideal triangulations with at most 9 ideal tetrahedra …
cusped hyperbolic 3-manifolds that have ideal triangulations with at most 9 ideal tetrahedra …
[PDF][PDF] Exact values of complexity for an infinite number of 3-manifolds
SS Anisov - Moscow Mathematical Journal, 2005 - scholar.archive.org
EXACT VALUES OF COMPLEXITY FOR AN INFINITE NUMBER OF 3-MANIFOLDS The
notion of complexity of 3-dimensional manifolds (see Defini Page 1 MOSCOW …
notion of complexity of 3-dimensional manifolds (see Defini Page 1 MOSCOW …
The Weber-Seifert dodecahedral space is non-Haken
B Burton, J Rubinstein, S Tillmann - Transactions of the American …, 2012 - ams.org
In this paper we settle Thurston's old question of whether the Weber-Seifert dodecahedral
space is non-Haken, a problem that has been a benchmark for progress in computational 3 …
space is non-Haken, a problem that has been a benchmark for progress in computational 3 …
[图书][B] Minimal triangulations and normal surfaces
BA Burton - 2003 - people.debian.org
This thesis examines three distinct problems relating to the combinatorial structures of
minimal 3-manifold triangulations and to the study of normal surfaces within these …
minimal 3-manifold triangulations and to the study of normal surfaces within these …
Fixed parameter tractable algorithms in combinatorial topology
BA Burton, W Pettersson - International Computing and Combinatorics …, 2014 - Springer
To enumerate 3-manifold triangulations with a given property, one typically begins with a set
of potential face pairing graphs (also known as dual 1-skeletons), and then attempts to flesh …
of potential face pairing graphs (also known as dual 1-skeletons), and then attempts to flesh …