Results 91 to 100 of about 88,096 (255)

Duality of Hodge numbers of compact complex nilmanifolds

Complex Manifolds, 2015
A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
Yamada Takumi
doaj   +1 more source

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras

Mathematics
The goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
doaj   +1 more source

Generalizations of quasielliptic curves [PDF]

Épijournal de Géométrie Algébrique
We generalize the notion of quasielliptic curves, which have infinitesimal symmetries and exist only in characteristic two and three, to a remarkable hierarchy of regular curves having infinitesimal symmetries, defined in all characteristics and having ...
Cesar Hilario, Stefan Schröer
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  

The six operations in topology

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
wiley   +1 more source

Galois cohomology of algebraic groups acting on the tensor product of two composition algebras [PDF]

, 2021
Simon W. Rigby
openalex   +1 more source

Persistence of unknottedness of clean Lagrangian intersections

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

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