Results 31 to 40 of about 154,491,935 (122)

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

Un q-análogo de la cohomología de de Rham

, 2011
En este trabajo estudiamos ciertas nociones de geometría diferencial así como algunas propiedades de N-complejos y q-números. Nuestro objetivo principal es construir un q-análogo del complejo de de Rham con formas diferenciales Un entendimiento más ...
Maya Duquea, Daniel
core  

Real models for the framed little n$n$‐disks operads

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source

Algunos aspectos homotópicos de la teoría de de Rham

, 2020
El estudio de las propiedades topológicas de las variedades suaves desde el punto de vista de formas diferenciales y de las ecuaciones que dichas formas satisfacen es conocido como teoría de de-Rham.
Vélez Vásquez, Sebastián
core  

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

Intersection de Rham complexes in positive characteristic [PDF]

, 2023
We establish a positive characteristic analogue of intersection cohomology theory for variations of Hodge structure. It includes: a) the de Rham-Higgs comparison theorem for the intersection de Rham complex; b) the $E_1$-degeneration theorem for the ...
Sheng, Mao, Zhang, Zebao
core  

High-energy effective theory for matter on close Randall-Sundrum branes [PDF]

, 2005
Extending the analysis of C. de Rham and S. Webster [Phys. Rev. D 71, 124025 (2005)], we obtain a formal expression for the coupling between brane matter and the radion in a Randall-Sundrum braneworld.
Webster, S, de Rham, C
core   +1 more source

From calculus to cohomology: de Rham cohomology

, 2012
Neste trabalho, estudamos a cohomologia de de Rham e métodos para os seus cálculos. Finalizamos com aplicações da cohomologia de de Rham em teoremas da topologiaIn this work we study the de Rham cohomology and methods for its calculations.
Mendes, Thais Zanutto, Thais Zanutto Mendes   +1 more
core   +1 more source

Local system and smooth correspondence in de rham theory with twisted coefficients

, 2020
Let ℒ be a local system, i.e., a flat vector bundle, on a manifold M. We denote by (Ω •(M; ℒ) = Γ (M; ∧ •T∗M⊗ ℒ), d= dℒ) the de Rham complex with coefficients in ℒ.
Ohta, H., Oh, Y.-G., Ono, K., Fukaya, K.
core   +1 more source

De Rham cohomology and Poincaré duality

Esta tesis presenta un desarrollo riguroso y autocontenido de la cohomología de De Rham y el teorema de dualidad de Poincaré, resultados fundamentales que conectan el análisis diferen- cial con la topología global.
Caro Valencia, Johan Santiago
core   +1 more source