Results 41 to 50 of about 9,056,610 (112)
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
Szegö Mappings, Harmonic Forms, and Dolbeault Cohomology [PDF]
, 1993 Let G/L be the quotient of a semisimple Lie Group G by the centralizer L of a torus. The author constructs an explicit intertwinig operator from derived functor modules, realized in the Langlands classification, into Dolbeault cohomology on G/L.
Barchini, L.
core +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 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
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
The L-two cohomology of Artin groups
, 2003 For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the
Leary, I.J., Davis, M.W.
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Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]
, 2002 It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
core +1 more source
Almost complex structures, transverse complex structures, and transverse Dolbeault cohomology
, 2022 We define a transverse Dolbeault cohomology associated to any almost complex structure $j$ on a smooth manifold $M$. This we do by extending the notion of transverse complex structure and by introducing a natural j-stable involutive limit distribution ...
Gutt, Jean, Cahen, Michel, Gutt, Simone
core
Relative Čech–Dolbeault homology and applications [PDF]
, 2020 We define the relative Dolbeault homology of a complex manifold with currents via a Čech approach, and we prove its equivalence with the relative Čech–Dolbeault cohomology as defined by Suwa (in: Singularities–Niigata–Toyama 2007.
Tardini N.
core +1 more source