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pro vyhledávání: '"57N10, 57N35"'
We prove that any knot or link in any 3-manifold can be nicely decomposed (splitted) by a filling Dehn sphere. This has interesting consequences in the study of branched coverings over knots and links. We give an algorithm for computing Johansson dia
Externí odkaz:
http://arxiv.org/abs/1508.06295
The triple point numbers and the triple point spectrum of a closed 3-manifold were defined in (R. Vigara, Representaci\'on de 3-variedades por esferas de Dehn rellenantes, PhD Thesis, UNED 2006). They are topological invariants that give a measure of
Externí odkaz:
http://arxiv.org/abs/1412.1637
Autor:
Lozano, Álvaro, Vigara, Rubén
A filling Dehn sphere $\Sigma$ in a closed 3-manifold $M$ is a sphere transversely immersed in $M$ that defines a cell decomposition of $M$. Every closed 3-manifold has a filling Dehn sphere. The Montesinos complexity of a $3$-manifold $M$ is defined
Externí odkaz:
http://arxiv.org/abs/1404.1657
For a genus g handlebody H a simplicial complex, with vertices being isotopy classes of certain incompressible surfaces in H, is constructed and several properties are established. In particular, this complex naturally contains, as a subcomplex, the
Externí odkaz:
http://arxiv.org/abs/1104.0660
Autor:
Burton, Benjamin A.
Publikováno v:
Algebr. Geom. Topol. 9 (2009) 2121-2174
The enumeration of normal surfaces is a crucial but very slow operation in algorithmic 3-manifold topology. At the heart of this operation is a polytope vertex enumeration in a high-dimensional space (standard coordinates). Tollefson's Q-theory speed
Externí odkaz:
http://arxiv.org/abs/0901.2629
Autor:
Burton, Benjamin A.
Publikováno v:
Mathematics of Computation 79 (2010), no. 269, 453-484
Many key algorithms in 3-manifold topology involve the enumeration of normal surfaces, which is based upon the double description method for finding the vertices of a convex polytope. Typically we are only interested in a small subset of these vertic
Externí odkaz:
http://arxiv.org/abs/0808.4050
Autor:
Buyalo, S., Svetlov, P.
This is an exposition of results on the existence problem of $\pi_1$-injective immersed and embedded surfaces in graph-manifolds, and also of nonpositively curved metrics on graph-manifolds, obtained by different authors. The results are represented
Externí odkaz:
http://arxiv.org/abs/math/0309192
Autor:
Svetlov, P.
We consider the following properties of compact oriented irreducible graph-manifolds: to contain a $\pi_1$-injective surface (immersed, virtually embedded or embedded), be (virtually) fibered over $S^1$, and to carry a metric of nonpositive sectional
Externí odkaz:
http://arxiv.org/abs/math/0112308
Autor:
Svetlov, P.
In this note we prove that any closed graph manifold admitting a metric of non-positive sectional curvature (NPC-metric) has a finite cover, which is fibered over the circle. An explicit criterion to have a finite cover, which is fibered over the cir
Externí odkaz:
http://arxiv.org/abs/math/0108010
We prove that any knot or link in any 3-manifold can be nicely decomposed (splitted) by a filling Dehn sphere. This has interesting consequences in the study of branched coverings over knots and links. We give an algorithm for computing Johansson dia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c026d86a45eb5d4eb0d4cfb3d608456
http://arxiv.org/abs/1508.06295
http://arxiv.org/abs/1508.06295