Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Spreer, Jonathan"'
Autor:
Morgan, James, Spreer, Jonathan
We reprove a necessary condition for the Sakuma-Weeks triangulation of a 2-bridge link complement to be minimal in terms of the mapping class describing its alternating 4-string braid construction. For the 2-bridge links satisfying this condition we
Externí odkaz:
http://arxiv.org/abs/2406.09629
This paper investigates a real-valued topological invariant of 3-manifolds called topological volume. For a given 3-manifold M it is defined as the smallest volume of the complement of a (possibly empty) hyperbolic link in M. Various refinements of t
Externí odkaz:
http://arxiv.org/abs/2402.04839
Autor:
Spreer, Jonathan, Tobin, Lucy
In this paper we discuss face numbers of generalised triangulations of manifolds in arbitrary dimensions. This is motivated by the study of triangulations of simply connected $4$-manifolds: We observe that, for a triangulation $\mathcal{T}$ of a simp
Externí odkaz:
http://arxiv.org/abs/2401.11152
Autor:
Altmann, Eduardo G., Spreer, Jonathan
We propose a Monte Carlo method to efficiently find, count, and sample abstract triangulations of a given manifold M. The method is based on a biased random walk through all possible triangulations of M (in the Pachner graph), constructed by combinin
Externí odkaz:
http://arxiv.org/abs/2310.07372
Autor:
Kühnel, Wolfgang, Spreer, Jonathan
Following work by the first author and Banchoff, we investigate triangulations of real and complex projective spaces of real and complex dimension $k$ that are adapted to the decomposition into "zones of influence" around the points $[1,0,\ldots,0],$
Externí odkaz:
http://arxiv.org/abs/2309.12728
Autor:
Huszár, Kristóf, Spreer, Jonathan
Publikováno v:
39th International Symposium on Computational Geometry (SoCG 2023). Leibniz International Proceedings in Informatics (LIPIcs), vol. 129, pg. 42:1-42:18, 2023
Motivated by the algorithmic study of 3-dimensional manifolds, we explore the structural relationship between the JSJ decomposition of a given 3-manifold and its triangulations. Building on work of Bachman, Derby-Talbot and Sedgwick, we show that a "
Externí odkaz:
http://arxiv.org/abs/2303.06789
Autor:
Shankar, Rajan, Spreer, Jonathan
Publikováno v:
This paper will be published in the proceedings of the SIAM Symposium on Algorithm Engineering and Experiments (ALENEX) 2023
We present a procedure to sample uniformly from the set of combinatorial isomorphism types of balanced triangulations of surfaces - also known as graph-encoded surfaces. For a given number $n$, the sample is a weighted set of graph-encoded surfaces w
Externí odkaz:
http://arxiv.org/abs/2211.07798
Let $M$ be a compact 3--manifold with boundary a single torus. We present upper and lower complexity bounds for closed 3--manifolds obtained as even Dehn fillings of $M.$ As an application, we characterise some infinite families of even Dehn fillings
Externí odkaz:
http://arxiv.org/abs/2207.12066
Previous work of the authors with Bus Jaco determined a lower bound on the complexity of cusped hyperbolic 3-manifolds and showed that it is attained by the monodromy ideal triangulations of once-punctured torus bundles. This paper exhibits an infini
Externí odkaz:
http://arxiv.org/abs/2112.01654
We give three algorithms to determine the crosscap number of a knot in the 3-sphere using $0$-efficient triangulations and normal surface theory. Our algorithms are shown to be correct for a larger class of complements of knots in closed 3-manifolds.
Externí odkaz:
http://arxiv.org/abs/2108.07599