Results 161 to 170 of about 196 (192)
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[98] Topological Aspects of Loop Groups
2017The purpose of these lectures is to give an introduction to the topological aspect s of the loop space ΩG when G is a compact Lie group. We will give a direct method of computing the cohomology of ΩG from very geometric and group theoretic data, usually referred to as the diagram.
László Fehér +2 more
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Topological Aspects of the Theory of Group Actions
1985In this chapter M denotes a C ∞ differentiable manifold and G a simply connected Lie group.
César Camacho, Alcides Lins Neto
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Journal of Molecular Structure: THEOCHEM, 1995
Abstract The square pyramidal VOtO4b and octahedral VOtO4bOi vertices of polyoxovanadates have non-bonding dxy orbitals, which can overlap weakly, leading to stabilization of derivatives with d1 VIV vertices through binodal orbital aromaticity. The S4 symmetry of dxy orbitals favors structures based on vanadium macropolyhedra with VOV edges and C4 ...
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Abstract The square pyramidal VOtO4b and octahedral VOtO4bOi vertices of polyoxovanadates have non-bonding dxy orbitals, which can overlap weakly, leading to stabilization of derivatives with d1 VIV vertices through binodal orbital aromaticity. The S4 symmetry of dxy orbitals favors structures based on vanadium macropolyhedra with VOV edges and C4 ...
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Closed-shell three-connected clusters: topological and group-theoretical aspects
Journal of the Chemical Society, Faraday Transactions, 1991Group-theoretical and topological arguments are presented within the tensor surface harmonic framework in order to predict polyhedral geometries for three-connected pseudo-spherical clusters, such as the C2n fullerenes. Topological and symmetry relationships between polyhedra, their duals, edge-figures and truncated derivatives are outlined.
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Combinatorial Curvatures, Group Actions, and Colourings: Aspects of Topological Combinatorics
2005The first part asks whether classical notions of curvature known from differential geometry can be carried over to discrete structures. Of particular interest are analogies on a structural level; questions of convergence are not considered. Chapter 1 is motivated by constructions well-known in differential geometry.
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Topological and algebraic aspects of virtual Artin groups
Aspects topologiques et algébriques des groupes d'Artin virtuels Cette thèse est consacrée à l'étude des groupes d'Artin virtuels, une classe de groupes récemment introduite par Bellingeri, Paris et Thiel. Parmi ceux-ci figure notamment le groupe de tresses virtuel, qui présente de riches liens avec la combinatoire et la topologie en ...openaire +2 more sources
An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists
Frontiers in Artificial Intelligence, 2021Frédéric Chazal +2 more
exaly
Degree-Based Topological Aspects of Polyphenylene Nanostructures
Polycyclic Aromatic Compounds, 2022Yu-Ming Chu +2 more
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Some Topological Aspects of Kleinian Groups
American Journal of Mathematics, 1978openaire +2 more sources