Results 71 to 80 of about 32,264 (146)
On Cohomological Decomposability of Almost-Kähler Structures [PDF]
, 2012 We study the J-invariant and J-anti-invariant cohomological subgroups of the de Rham cohomology of a compact manifold M endowed with an almost-K\"ahler structure (J, \omega, g).
Tomassini, Adriano +2 more
core
Continuity of HYM connections with respect to metric variations
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
wiley +1 more source
Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source
Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical
Mathematische Nachrichten, Volume 297, Issue 12, Page 4705-4729, December 2024.Abstract In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 is provided.
Beatrice Brienza, Anna Fino
wiley +1 more source
On the infinite dimensionality of the Dolbeault cohomology groups [PDF]
Proceedings of the American Mathematical Society, 1975 Let M M be an open subset of a Stein manifold without isolated points. Let
openaire +2 more sources
Constructing and Machine Learning Calabi‐Yau Five‐Folds
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract Motivated by their role in M‐theory, F‐theory, and S‐theory compactifications, all possible complete intersections Calabi‐Yau five‐folds in a product of four or less complex projective spaces are constructed, with up to four constraints. A total of 27 068 spaces are obtained, which are not related by permutations of rows and columns of the ...
Rashid Alawadhi +3 more
wiley +1 more source
Dolbeault cohomology for almost complex manifolds
, 2020 I will introduce a Fr\"olicher-type spectral sequence that is valid for all almost complex manifolds, yielding a natural Dolbeault cohomology theory for non-integrable structures and a rich theory surrounding it.
Cirici, Joana
core +1 more source
, 2019 We review the notion of relative Dolbeault cohomology and prove that it is canonically isomorphic with the local (relative) cohomology of A. Grothendieck and M. Sato with coefficients in the sheaf of holomorphic forms. We deal with this cohomology from two viewpoints.
openaire +2 more sources
de Rham and Dolbeault cohomology of solvmanifolds with local systems [PDF]
Mathematical Research Letters, 2014 17 pages, I combined arXiv:1207.3988v2 and arXiv:1208 ...
openaire +2 more sources
Basic Dolbeault cohomology and Weitzenb\"ock frmulas on transversely K\"ahler foliations [PDF]
, 2017 We study basic Dolbeault cohomology and find new Weitzenb\"ock formulas on a transversely K\"ahler foliation. We investigate conditions on mean curvature and Ricci curvature that impose restrictions on basic Dolbeault cohomology.
Jung, Seoung Dal, Richardson, Ken
core +1 more source