Zobrazeno 1 - 10
of 216 632
pro vyhledávání: '"Thurston, A."'
Autor:
Cigna, Alessandro V.
The Thurston norm of a closed oriented graph manifold is a sum of absolute values of linear functionals, and either each or none of the top-dimensional faces of its unit ball are fibered. We show that, conversely, every norm that can be written as a
Externí odkaz:
http://arxiv.org/abs/2412.03437
Autor:
Csima, Géza, Szirmai, Jenő
In the present paper we deal with non-constant curvature Thurston geometries \cite{M97}, \cite{S}, \cite{Sz22-3},\cite{W06}. We define and determine the generalized trans\-lation-like Apollonius surfaces and thus also bisector surfaces as a special c
Externí odkaz:
http://arxiv.org/abs/2410.22955
Autor:
Prochorov, Nikolai
We investigate the family of marked Thurston maps that are defined everywhere on the topological sphere $S^2$, potentially excluding at most countable closed set of essential singularities. We show that when an unmarked Thurston map $f$ is realized b
Externí odkaz:
http://arxiv.org/abs/2410.06206
Autor:
Prochorov, Nikolai
We develop the theory of Thurston maps that are defined everywhere on the topological sphere $S^2$ with a possible exception of a single essential singularity. We establish an analog of the celebrated W. Thurston's characterization theorem for a broa
Externí odkaz:
http://arxiv.org/abs/2410.01146
Autor:
Kudlinska, Monika
We define a new notion of splitting complexity for a group $G$ along a non-trivial integral character $\phi \in H^1(G; \mathbb{Z})$. If $G$ is a one-ended coherent right-angled Artin group, we show that the splitting complexity along an epimorphism $
Externí odkaz:
http://arxiv.org/abs/2411.02516
Autor:
Hamenstädt, Ursula, Jäckel, Frieder
For every $n\geq 4$ we construct infinitely many mutually not homotopic closed manifolds of dimension $n$ which admit a negatively curved Einstein metric but no locally symmetric metric.
Comment: 30 pages, 2 figures
Comment: 30 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2411.12956
We develop the notion of the active interval for a subsurface along a geodesic in the Thurston metric on Teichmuller space of a surface S. That is, for any geodesic in the Thurston metric and any subsurface R of S, we find an interval of times where
Externí odkaz:
http://arxiv.org/abs/2408.01632
Autor:
Cigna, Alessandro V.
The Thurston norm is a seminorm on the second real homology group of a compact orientable 3-manifold. The unit ball of this norm is a convex polyhedron, whose shape's data (e.g. number of vertices, regularity) measures the complexity of the surfaces
Externí odkaz:
http://arxiv.org/abs/2407.11759
Much of modern cosmology relies on the Cosmological Principle, the assumption that the Universe is isotropic and homogeneous on sufficiently large scales, but it remains worthwhile to examine cosmological models that violate this principle slightly.
Externí odkaz:
http://arxiv.org/abs/2409.03008
Autor:
Li, Zhiqiang, Shi, Xianghui
Expanding Thurston maps were introduced by M. Bonk and D. Meyer with motivation from complex dynamics and Cannon's conjecture from geometric group theory via Sullivan's dictionary. In this paper, we study subsystems of expanding Thurston maps motivat
Externí odkaz:
http://arxiv.org/abs/2404.07247