Results 31 to 40 of about 241,469 (256)
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
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
semanticscholar +1 more source
Generalized Cluster States Based on Finite Groups [PDF]
, 2015 We define generalized cluster states based on finite group algebras in analogy to the generalization of the toric code to the Kitaev quantum double models. We do this by showing a general correspondence between systems with CSS structure and finite group
Brell, Courtney G.
core +3 more sources
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
, 2019 Contramodules are module-like algebraic structures endowed with infinite summation (or, occasionally, integration) operations satisfying natural axioms. Introduced originally by Eilenberg and Moore in 1965 in the case of coalgebras over commutative rings,
Positselski, Leonid
core +3 more sources
Fraisse Limits, Ramsey Theory, and Topological Dynamics of Automorphism Groups [PDF]
, 2004 We study in this paper some connections between the Fraisse theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable structures.Comment: 73 pages, LaTeX 2e, to appear in ...
Kechris, A. S. +2 more
core +2 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
core +1 more source
Holonomy and monodromy groupoids [PDF]
, 2001 We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialise to the well known holonomy and monodromy groupoids of a foliation, when the groupoid is just an equivalence ...
Brown, Ronald, Icen, Ilhan, Mucuk, Osman
core +1 more source
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
semanticscholar +1 more source
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
core +1 more source