منابع مشابه
Hyperbolic 3-manifolds and the geometry of the curve complex
We give a brief survey of some recent work on 3-manifolds, notably towards proving Thurston’s ending lamination conjecture. We describe some applications to the theory of surfaces and mapping class groups.
متن کاملHomology of the curve complex and the Steinberg module of the mapping class group
Harer has shown that the mapping class group is a virtual duality groupmirroring the work of Borel-Serre on arithmetic groups in semisimple Q-groups. Just as the homology of the rational Tits building provides the dualizing module for any torsion-free arithmetic group, the homology of the curve complex is the dualizingmodule for any torsion-free, finite index subgroup of the mapping class group...
متن کاملControlling Geometry of Homology Generators
Homology groups and their generators of a 2D image are computed using a hierarchical structure i.e. irregular graph pyramid. In this paper we show that the generators of the first homology groups of a 2D image, computed with this pyramid based method always fit on the borders of the regions.
متن کاملControlling Geometry of Homology Generators
Homology groups and their generators of a 2D image are computed using a hierarchical structure i.e. irregular graph pyramid. In this paper we show that the generators of the first homology groups of a 2D image, computed with this pyramid based method always fit on the boundaries of the regions.
متن کاملExploring the nonlinear geometry of protein homology.
The explosion of biological data resulting from genomic and proteomic research has created a pressing need for data analysis techniques that work effectively on a large scale. An area of particular interest is the organization and visualization of large families of protein sequences. An increasingly popular approach is to embed the sequences into a low-dimensional Euclidean space in a way that ...
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ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2012
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s179352531250001x