Results 1 to 10 of about 12,992,220 (343)
The fundamental group as a topological group [PDF]
Topology and its Applications, 2012 This paper is devoted to the study of a natural group topology on the fundamental group which remembers local properties of spaces forgotten by covering space theory and weak homotopy type.
Brazas, Jeremy
core +3 more sources
Extended topological group structure due to average reflection symmetry [PDF]
, 2015 We extend the single-particle topological classification of insulators and superconductors to include systems in which disorder preserves average reflection symmetry.
Diez, M. +3 more
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Topological Insulators from Group Cohomology [PDF]
Physical Review X, 2016 We classify insulators by generalized symmetries that combine space-time transformations with quasimomentum translations. Our group-cohomological classification generalizes the nonsymmorphic space groups, which extend point groups by real-space ...
A. Alexandradinata +2 more
doaj +2 more sources
Topological Phases Protected by Point Group Symmetry [PDF]
Physical Review X, 2017 We consider symmetry-protected topological (SPT) phases with crystalline point group symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be understood in terms of lower-dimensional topological phases with on-site symmetry and ...
Hao Song +3 more
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Klein Topological Field Theories from Group Representations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers.
Sergey A. Loktev, Sergey M. Natanzon
doaj +5 more sources
Mathematica Moravica, 2021 In this paper, we introduce the notions of p-topological group and p-irresolute topological group which are generalizations of the notion topological group.
Jafari Saeid +2 more
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Progress and prospects in magnetic topological materials [PDF]
Nature, 2022 Magnetic topological materials represent a class of compounds with properties that are strongly influenced by the topology of their electronic wavefunctions coupled with the magnetic spin configuration.
B. Bernevig, C. Felser, H. Beidenkopf
semanticscholar +1 more source
ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS [PDF]
Journal of Algebraic Systems, 2020 . A topological group H is called ω -narrow if for every neighbourhood V of it’s identity element there exists a countable set A such that V A = H = AV.
M. R. Ahmadi Zand, S. Rostami
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Pauli topological subsystem codes from Abelian anyon theories [PDF]
Quantum, 2022 We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional Abelian anyon theories–this includes anyon theories with degenerate braiding relations and those without a gapped boundary to the vacuum.
Tyler D. Ellison +5 more
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THE COMPLEXITY OF TOPOLOGICAL GROUP ISOMORPHISM [PDF]
Journal of Symbolic Logic (JSL), 2017 We study the complexity of the topological isomorphism relation for various classes of closed subgroups of the group of permutations of the natural numbers. We use the setting of Borel reducibility between equivalence relations on Borel spaces.
A. Kechris, A. Nies, K. Tent
semanticscholar +1 more source