Results 21 to 30 of about 62,778,540 (180)
The Bubble Transform and the de Rham Complex
Foundations of Computational Mathematics, 2022 The purpose of this paper is to discuss a generalization of the bubble transform to differential forms. The bubble transform was discussed in a previous paper by the authors for scalar valued functions, or zero-forms, and represents a new tool for the understanding of finite element spaces of arbitrary polynomial degree.
Falk, Richard S., Winther, Ragnar
openaire +7 more sources
Bott-Chern hypercohomology and bimeromorphic invariants
Complex Manifolds, 2023 The aim of this article is to study the geometry of Bott-Chern hypercohomology from the bimeromorphic point of view. We construct some new bimeromorphic invariants involving the cohomology for the sheaf of germs of pluriharmonic functions, the truncated ...
Yang Song, Yang Xiangdong
doaj +1 more source
On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 Based on the isomorphism between Lie algebroid cohomology and piecewise smooth cohomology of a transitive Lie algebroid, it is proved that the Rham cohomology of a locally trivial Lie groupoid G on a smooth manifold M is isomorphic to the piecewise Rham ...
Jose R. Oliveira
doaj +1 more source
Differential operators on almost-Hermitian manifolds and harmonic forms
Complex Manifolds, 2020 We consider several differential operators on compact almost-complex, almost-Hermitian and almost-Kähler manifolds. We discuss Hodge Theory for these operators and a possible cohomological interpretation.
Tardini Nicoletta, Tomassini Adriano
doaj +1 more source
A Hamiltonian and geometric formulation of general Vlasov-Maxwell-type models
Fundamental Plasma Physics, 2023 Three geometric formulations of the Hamiltonian structure of the macroscopic Maxwell equations are given: one in terms of the double de Rham complex, one in terms of L2 duality, and one utilizing an abstract notion of duality.
William Barham +2 more
doaj +1 more source
Hodge-de Rham numbers of almost complex 4-manifolds [PDF]
, 2023 We introduce and study Hodge-de Rham numbers for compact almost complex 4-manifolds, generalizing the Hodge numbers of a complex surface. The main properties of these numbers in the case of complex surfaces are extended to this more general setting, and ...
Cirici, Joana, Wilson, Scott O.
core +1 more source
Cohomology of D-complex manifolds [PDF]
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella +4 more
core +1 more source
Overconvergent de Rham-Witt cohomology [PDF]
, 2009 The goal of this work is to construct, for a smooth variety X over a perfect field k of finite characteristic, an overconvergent de Rham-Witt complex W †ΩX/k as a suitable subcomplex of the de Rham-Witt complex of Deligne-Illusie.
Christopher Davis +6 more
core +3 more sources
THE UNIVERSAL DE RHAM / SPENCER DOUBLE COMPLEX ON A SUPERMANIFOLD [PDF]
, 2022 The universal Spencer and de Rham complexes of sheaves over a smooth or analytical manifold are well known to play a basic role in the theory of D-modules.
Noja, S, Cacciatori, SL, Re, R
core +3 more sources
Cohomology of the discrete de Rham complex on domains of general topology [PDF]
, 2022 In this work we prove that, for a general polyhedral domain of $\Real^3$, the cohomology spaces of the discrete de Rham complex of [Di Pietro and Droniou, An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincaré inequalities,
Di Pietro, Daniele +7 more
core +1 more source