Results 1 to 10 of about 12,500,002 (282)
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
On gapped boundaries for SPT phases beyond group cohomology [PDF]
Journal of High Energy Physics, 2019 We discuss a strategy to construct gapped boundaries for a large class of symmetry-protected topological phases (SPT phases) beyond group cohomology. This is done by a generalization of the symmetry extension method previously used for cohomo- logical ...
Ryohei Kobayashi +2 more
doaj +2 more sources
Combable groups have group cohomology of polynomial growth [PDF]
, 2018 Group cohomology of polynomial growth is defined for any finitely generated discrete group, using cochains that have polynomial growth with respect to the word length function.
Allcock +13 more
core +2 more sources
Group-cohomology refinement to classify $G$-symplectic manifolds [PDF]
, 2003 ``Pseudo-cohomology'', as a refinement of Lie group cohomology, is soundly studied aiming at classifying of the symplectic manifolds associated with Lie groups. In this study, the framework of symplectic cohomology provides fundamental new insight, which enriches the analysis previously developed in the setting of Cartan-Eilenberg $H^2(G,U(1 ...
J. Guerrero, J. Jaramillo, V. Aldaya
arxiv +3 more sources
Continuity properties of measurable group cohomology
, 2012 A version of group cohomology for locally compact groups and Polish modules has previously been developed using a bar resolution restricted to measurable cochains.
A Hatcher +24 more
core +2 more sources
Bulk-boundary correspondence for intrinsically gapless symmetry-protected topological phases from group cohomology [PDF]
Physical review B, 2022 Intrinsically gapless symmetry protected topological phases (igSPT) are gapless systems with SPT edge states with properties that could not arise in a gapped system with the same symmetry and dimensionality.
Rui Wen, A. Potter
semanticscholar +1 more source
Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we calculate cohomology of a classical Lie algebra of type A2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules. To describe their structure we will consider them as modules over an algebraic
A.A. Ibrayeva
doaj +3 more sources
Integral cohomology of quotients via toric geometry [PDF]
Épijournal de Géométrie Algébrique, 2022 We describe the integral cohomology of $X/G$ where $X$ is a compact complex manifold and $G$ a cyclic group of prime order with only isolated fixed points.
Grégoire Menet
doaj +1 more source
Dieudonné theory via cohomology of classifying stacks
Forum of Mathematics, Sigma, 2021 We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
doaj +1 more source
BD algebras and group cohomology
Comptes Rendus. Mathématique, 2021 BD algebras (Beilinson–Drinfeld algebras) are algebraic structures which are defined similarly to BV algebras (Batalin–Vilkovisky algebras). The equation defining the BD operator has the same structure as the equation for BV algebras, but the BD operator
Todea, Constantin-Cosmin
doaj +1 more source