Results 101 to 110 of about 84,663 (199)

Hodge numbers and invariant complex structures of compact nilmanifolds

Complex Manifolds, 2016
In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
Yamada Takumi
doaj   +1 more source

A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements

, 2017
A general vanishing result for the first cohomology group of affine smooth complex varieties with values in rank one local systems is established. This is applied to the determination of the monodromy action on the first cohomology group of the Milnor ...
Bailet, Pauline, Dimca, Alexandru, Yoshinaga, Masahiko   +2 more
core  

Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras

Electronic Research Archive
The purpose of this paper is to study nonabelian embedding tensors on 3-Lie algebras, and to explore the fundamental algebraic structures, cohomology and deformations associated with them.
Wen Teng, Xiansheng Dai
doaj   +1 more source

On gapped boundaries for SPT phases beyond group cohomology

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, Kantaro Ohmori, Yuji Tachikawa   +2 more
doaj   +1 more source

Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds

Complex Manifolds, 2016
If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
doaj   +1 more source

Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics. [PDF]

Entropy (Basel), 2020
Barbaresco F, Gay-Balmaz F.
europepmc   +1 more source

Crystallography, group cohomology, and Lieb–Schultz–Mattis constraints

SciPost Physics
We compute the mod-2 cohomology ring for three-dimensional (3D) space groups and establish a connection between them and the lattice structure of crystals with space group symmetry.
Chunxiao Liu, Weicheng Ye
doaj   +1 more source

From Gauge Anomalies to Gerbes and Gerbal Representations: Group Cocycles in Quantum Theory

Acta Polytechnica, 2010
In this paper I shall discuss the role of group cohomology in quantum mechanics and quantum field theory. First, I recall how cocycles of degree 1 and 2 appear naturally in the context of gauge anomalies.
J. Mickelsson
doaj  

Abelian Extensions of Modified λ-Differential Left-Symmetric Algebras and Crossed Modules

Axioms
In this paper, we define a cohomology theory of a modified λ-differential left-symmetric algebra. Moreover, we introduce the notion of modified λ-differential left-symmetric 2-algebras, which is the categorization of a modified λ-differential left ...
Fuyang Zhu, Taijie You, Wen Teng
doaj   +1 more source

Framed cohomological Hall algebras and cohomological stable envelopes. [PDF]

Lett Math Phys, 2023
Botta TM.
europepmc   +1 more source