Zobrazeno 1 - 10
of 114
pro vyhledávání: '"57M25, 57N10"'
Infinite families of 3-dimensional closed graph manifolds and closed Seifert fibered spaces are exhibited, each member of which contains an essential torus not detected by ideal points of the variety of $\text{SL}_2(\mathbb{F})$-characters over any a
Externí odkaz:
http://arxiv.org/abs/2411.15680
Autor:
Garden, Grace S., Tillmann, Stephan
In the seminal work of Culler and Shalen from 1983, essential surfaces in 3-manifolds are associated to ideal points of their $\text{SL}_2(\mathbb{C})$-character varieties, and connections between the algebraic geometry of the character variety and t
Externí odkaz:
http://arxiv.org/abs/2411.06859
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
Autor:
Tillmann, Stephan, Yao, Youheng
This paper presents, for the special case of once-punctured torus bundles, a natural method to study the character varieties of hyperbolic 3-manifolds that are bundles over the circle. The main strategy is to restrict characters to the fibre of the b
Externí odkaz:
http://arxiv.org/abs/2206.14954
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
Autor:
Neumann, Walter D., Wahl, Jonathan
Publikováno v:
Journal of Singularities, Vol. 23 (2021), 151-169
A three-dimensional orbifold $(\Sigma, \gamma_i, n_i)$, where $\Sigma$ is a rational homology sphere, has a universal abelian orbifold covering, whose covering group is the first orbifold homology. A singular pair $(X,C)$, where $X$ is a normal surfa
Externí odkaz:
http://arxiv.org/abs/2011.09077
Autor:
Porti, Joan, Tillmann, Stephan
We compute and analyse the moduli space of those real projective structures on a hyperbolic 3-orbifold that are modelled on a single ideal tetrahedron in projective space. Parameterisations are given in terms of classical invariants, traces, and geom
Externí odkaz:
http://arxiv.org/abs/2004.06242
Autor:
Tillmann, Stephan
This paper illustrates a computational approach to Culler-Morgan-Shalen theory using ideal triangulations, spun-normal surfaces and tropical geometry. Certain affine algebraic sets associated to the Whitehead link complement as well as their logarith
Externí odkaz:
http://arxiv.org/abs/1911.04619
Autor:
Suciu, Alexander I.
Publikováno v:
Manuscripta Mathematica 67 (2022), no. 1-2, 89-123
The cohomology jump loci of a space $X$ are of two basic types: the characteristic varieties, defined in terms of homology with coefficients in rank one local systems, and the resonance varieties, constructed from information encoded in either the co
Externí odkaz:
http://arxiv.org/abs/1901.01419
Autor:
Burton, Benjamin A., Tillmann, Stephan
We present a practical algorithm to test whether a 3-manifold given by a triangulation or an ideal triangulation contains a closed essential surface. This property has important theoretical and algorithmic consequences. As a testament to its practica
Externí odkaz:
http://arxiv.org/abs/1812.11686