Results 51 to 60 of about 1,618,388 (368)
On Geometric Topological Algebras
Journal of Mathematical Analysis and Applications, 1993 The paper under review, one of related works by the author [see also the review above], is influenced by, and subsumed under, a programme of sheaf-theoretic treatment of differential geometry, hence the term ``geometric'' for the algebras in the title.
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Aharonov-Bohm effect and geometric phases -- Exact and approximate topology
, 2013 By analyzing an exactly solvable model in the second quantized formulation which allows a unified treatment of adiabatic and non-adiabatic geometric phases, it is shown that the topology of the adiabatic Berry's phase, which is characterized by the ...
Fujikawa, Kazuo
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Topological geometrical categories
Journal of Pure and Applied Algebra, 2002 The author studies topological categories (over \({\mathcal S}et\)) which are `geometrical' in the sense that they have an initially dense set of initially injective objects. He shows that such categories may be characterized as the categories of `affine sets' relative to some many-sorted (infinitary) algebra.
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Generalised Swan modules and the D(2) problem
, 2006 We give a detailed proof that, for any natural number n, each algebraic two complex over C_n \times C_\infty is realised up to congruence by a geometric complex arising from a presentation for the group.Comment: This is the version published by Algebraic
Bass +11 more
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A Euclidean Bianchi Model Based On $S^3/D_8^*$ [PDF]
, 1995 We explain how the round four-sphere can be sliced along homogeneous 3~-~manifolds of topology $S^3/D_8^*$. This defines a Euclidean Bianchi type IX model for Einstein's equations with cosmological constant.
Domenico Giulini +4 more
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Geometric lattices with topology
Journal of Combinatorial Theory, Series A, 1986 [Das Referat bezieht sich auf diese und die nachfolgende Arbeit.] Diese beiden Arbeiten bringen die Theorie der topologischen geometrischen Verbände zu einem sehr befriedigenden Abschluß. Sei \(G\) ein \(n\)-dimensionaler geometrischer Verband im Sinne von \textit{G. Birkhoff} [Lattice Theory. 3rd ed.
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Non-Abelian adiabatic geometric transformations in a cold strontium gas
Nature Communications, 2018 The symmetry group and geometric phase of a system are responsible for many quantum properties related to non-trivial topology. Here the authors show non-Abelian geometric phase in laser-coupled ultracold strontium atoms by using a tripod scheme.
F. Leroux +6 more
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Homological Type of Geometric Transitions [PDF]
, 2010 The present paper gives an account and quantifies the change in topology induced by small and type II geometric transitions, by introducing the notion of the \emph{homological type} of a geometric transition.
B. Geemen Van +26 more
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A search method for thin positions of links
, 2004 We give a method for searching for thin positions of a given link.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-42.abs ...
Burde +5 more
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Contact Structures and Geometric Topology [PDF]
, 2011 This is a survey on contact open books and contact Dehn surgery. The relation between these two concepts is discussed, and various applications are sketched, e.g. the monodromy of Stein fillable contact 3-manifolds, the Giroux-Goodman proof of Harer's conjecture on fibred links, construction of symplectic caps to fillings (Eliashberg, Etnyre), and ...
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