Results 21 to 30 of about 352,298 (333)
Boundary degeneracy of topological order
Physical Review B, 2015 We introduce the concept of boundary degeneracy of topologically ordered states on a compact orientable spatial manifold with boundaries, and emphasize that the boundary degeneracy provides richer information than the bulk degeneracy. Beyond the bulk-edge correspondence, we find the ground state degeneracy of the fully gapped edge modes depends on ...
Wen, Xiao-Gang, Wang, Juven
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Du trimorphe aux frontières quasi topologiques
Ateliers d'Anthropologie, 2012 Topology is used in linguistics for semantic, lexical and grammatical descriptions. However, classical topology, with its notion of the limit, is insufficient. Therefore, to describe numerous semantic oppositions (such as “again” / “not again”, “already”
Jean-Pierre Desclés
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The causal order on the ambient boundary [PDF]
, 2016 We analyse the causal structure of the ambient boundary, the conformal infinity of the ambient (Poincar\'e) metric. Using topological tools we show that the only causal relation compatible with the global topology of the boundary spacetime is the ...
Antoniadis, Ignatios +2 more
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Topological boundary modes in isostatic lattices [PDF]
Nature Physics, 2013 Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science. The difference between the number of bonds and the number of degrees of freedom of these lattices determines the ...
Kane, C. L., Lubensky, T. C.
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Some Problems of Topology Change Description in the Theory of Space-Time [PDF]
, 1995 The problem of topology change description in gravitation theory is analized in detailes. It is pointed out that in standard four-dimensional theories the topology of space may be considered as a particular case of boundary conditions (or constraints ...
Konstantinov, M. Yu.
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The boundary manifold of a complex line arrangement [PDF]
, 2008 We study the topology of the boundary manifold of a line arrangement in CP^2, with emphasis on the fundamental group G and associated invariants. We determine the Alexander polynomial Delta(G), and more generally, the twisted Alexander polynomial ...
Cohen, Daniel C, Suciu, Alexander I
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Topological inference of manifolds with boundary
Computational Geometry, 2020 Given a set of data points sampled from some underlying space, there are two important challenges in geometric and topological data analysis when dealing with sampled data: reconstruction -- how to assemble discrete samples into global structures, and inference -- how to extract geometric and topological information from data that are high-dimensional,
Wang, Yuan, Wang, Bei
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Jixie qiangdu, 2022 The variable density method has become an effective method to solve the topology optimization problem of continuum structure due to its advantages such as few design variables and high efficiency.
ZHANG GuoFeng +3 more
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Energies, 2016 This paper presents an algorithm to translate building topology in an object-oriented architectural building model (Building Information Modeling, BIM) into an object-oriented physical-based energy performance simulation by using an object-oriented ...
WoonSeong Jeong, JeongWook Son
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A Theoretical Investigation of Flow Topologies in Bubble- and Droplet-Affected Flows
Fluids, 2019 A local flow topology analysis was conducted for laminar particle-affected flows. Based on the invariants of the velocity gradient tensor, all possible flow structures can be categorized into two focal and two nodal topologies for incompressible flows ...
Josef Hasslberger +2 more
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