Complexity of 4-manifolds.
Costantino, Francesco (2006)
Experimental Mathematics
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Displaying similar documents to “-vectors of 3-manifolds.”
Complexity of 4-manifolds.
Combinatorial 3-manifolds with 10 vertices.
Lutz, Frank H. (2008)
Beiträge zur Algebra und Geometrie
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Small hyperbolic 3-manifolds with geodesic boundary.
Frigerio, Roberto, Martelli, Bruno, Petronio, Carlo (2004)
Experimental Mathematics
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On the complexity of graph-manifolds.
Fominykh, E.A., Ovchinnikov, M.A. (2005)
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Tight embeddings of simply connected 4-manifolds.
Kühnel, Wolfgang (2004)
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Three-dimensional pseudomanifolds on eight vertices.
Datta, Basudeb, Nilakantan, Nandini (2008)
International Journal of Mathematics and Mathematical Sciences
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Universal manifold pairings and positivity.
Freedman, Michael H., Kitaev, Alexei, Nayak, Chetan, Slingerland, Johannes K., Walker, Kevin, Wang, Zhenghan (2005)
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On the topological structure of compact 5-manifolds
Alberto Cavicchioli, Fulvia Spaggiari (1993)
Commentationes Mathematicae Universitatis Carolinae
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We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let be a closed connected orientable smooth -manifold with free fundamental group. Then we prove that the number of distinct smooth -manifolds homotopy equivalent to equals the -nd Betti number (mod ) of .
Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space
Hanspeter Fischer, David G. Wright (2003)
Fundamenta Mathematicae
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Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure.
Ivanšić, Dubravko, Ratcliffe, John G., Tschantz, Steven T. (2005)
Algebraic & Geometric Topology
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3-manifold spines and bijoins.
Luigi Grasselli (1990)
Revista Matemática de la Universidad Complutense de Madrid
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We describe a combinatorial algorithm for constructing all orientable 3-manifolds with a given standard bidimensional spine by making use of the idea of bijoin (Bandieri and Gagliardi (1982), Graselli (1985)) over a suitable pseudosimplicial triangulation of the spine.