Results 31 to 40 of about 266,674 (332)
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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Mathematics, 2023 User equipment (UE) location estimation in emerging 5G/B5G/6G Ultra-Dense Networks (UDNs) is a breakthrough technology in future wireless info-communication ecosystems.
Grigoriy Fokin, Andrey Koucheryavy
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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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Level-set based topology optimization considering milling directions via fictitious physical model
Mechanical Engineering Journal, 2020 Topology optimization is the most flexible structural optimization method that allows the topological modification as well as the shape changes. Topology optimization techniques have recently been utilized in engineering applications regarding multi ...
Doe YOUNG HUR +4 more
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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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Evolutionary Khovanov homology
AIMS MathematicsKnot theory, a subfield in geometric topology, is the study of the embedding of closed circles into three-dimensional Euclidean space, motivated by the ubiquity of knots in daily life and human civilization.
Li Shen, Jian Liu, Guo-Wei Wei
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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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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
core +3 more sources
Topological Properties of Geometric Phases [PDF]
Progress of Theoretical Physics Supplement, 2006 The level crossing problem and associated geometric terms are neatly formulated by using the second quantization technique both in the operator and path integral formulations. The analysis of geometric phases is then reduced to the familiar diagonalization of the Hamiltonian.
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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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