Results 31 to 40 of about 240,294 (261)
Evolution of orbital angular momentum in a soft quasi-periodic structure with topological defects. [PDF]
Optics Express, 2018 A continuously deformative space possesses trivial or nontrivial topological characteristics depending on the associated homotopy groups associated with spaces describing the physical processes. Moreover, the interaction of spatial warping and structural
Wang Zhang +6 more
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A topological extension of general relativity [PDF]
, 1996 A set of algebraic equations for the topological properties of space-time is derived, and used to extend general relativity into the Planck domain. A unique basis set of three-dimensional prime manifolds is constructed which consists of S3, S1 × S2, and ...
M. Spaans
semanticscholar +1 more source
Cup products on polyhedral approximations of 3D digital images [PDF]
, 2011 Let I be a 3D digital image, and let Q(I) be the associated cubical complex. In this paper we show how to simplify the combinatorial structure of Q(I) and obtain a homeomorphic cellular complex P(I) with fewer cells.
A. Hatcher +14 more
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Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]
, 2015 In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir +2 more
core +3 more sources
Hierarchical structure and the prediction of missing links in networks [PDF]
Nature, 2008 Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, in which vertices divide into groups ...
A. Clauset +2 more
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Symmetry Protected Topological phases and Generalized Cohomology [PDF]
, 2018 We discuss the classification of SPT phases in condensed matter systems. We review Kitaev's argument that SPT phases are classified by a generalized cohomology theory, valued in the spectrum of gapped physical systems.
Barukh B Rohde +5 more
core +3 more sources
The asymptotic shape theorem for generalized first passage percolation
, 2010 We generalize the asymptotic shape theorem in first passage percolation on $\mathbb{Z}^d$ to cover the case of general semimetrics. We prove a structure theorem for equivariant semimetrics on topological groups and an extended version of the maximal ...
Björklund, Michael
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Universal arrows to forgetful functors from categories of topological algebra [PDF]
, 1992 We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra.
Pestov, Vladimir G.
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Degenerate quantum general linear groups [PDF]
Advances in Theoretical and Mathematical Physics, 2018 Given any pair of positive integers m and n, we construct a new Hopf algebra, which may be regarded as a degenerate version of the quantum group of gl(m+n). We study its structure and develop a highest weight representation theory. The finite dimensional
Jin Cheng, Yan Wang, Ruibin Zhang
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Sp(3) structures on 14-dimensional manifolds
, 2012 The present article investigates Sp(3) structures on 14-dimensional Riemannian manifolds, a continuation of the recent study of manifolds modeled on rank two symmetric spaces (here: SU(6)/Sp(3)). We derive topological criteria for the existence of such a
Agricola, Ilka +2 more
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