Results 41 to 50 of about 230 (114)

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Divided Powers and Derived De Rham Cohomology [PDF]

We develop the formalism of derived divided power algebras, and revisit the theory of derived De Rham and derived crystalline cohomology in this framework.
Magidson, Kirill
core   +1 more source

Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics

Fortschritte der Physik, Volume 73, Issue 12, December 2025.
Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley   +1 more source

Algebraic Topology via Differential Geometry

, 1988
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and
M. Karoubi, C. Leruste
core   +1 more source

Twisted de Rham Complex on Line and Singular Vectors in sl₂ˆ Verma Modules [PDF]

, 2019
We consider two complexes. The first complex is the twisted de Rham complex of scalar meromorphic differential forms on the projective line, holomorphic on the complement to a finite set of points.
Varchenko, A., Slinkin, A.
core   +1 more source

Finitary Čech-de Rham cohomology

, 2002
The present paper continues (Mallios & Rapfis, International Journal of Theoretical Physics, 2001, 40, 1885) and studies the curved finitary spacetime sheaves of incidence algebras presented therein from a Čech cohomological perspective.
Mallios, A., Raptis, I.
core   +1 more source

Examples of the Local $L^2$-Cohomology of Algebraic Varieties

, 2020
$L^2$-cohomology is a cohomology theory on Riemannian manifolds. It agrees with de Rham cohomology in the compact case, but is often different in the non-compact case.
Cruz, Joshua
core   +1 more source

Introductory Lectures on Equivariant Cohomology (with apendices by Alberto Arabia)

, 2020
International audienceEquivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces.
Tu, Loring, Arabia, Alberto
core   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

Ann Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

PERSISTENT HYPERDIGRAPH HOMOLOGY AND PERSISTENT HYPERDIGRAPH LAPLACIANS. [PDF]

Found Data Sci, 2023
Chen D, Liu J, Wu J, Wei GW.
europepmc   +1 more source