About: Yang–Mills equations

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Yang–Mills equations Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FYang%E2%80%93Mills_equations

In physics and mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on a vector bundle or principal bundle. They arise in physics as the Euler–Lagrange equations of the Yang–Mills action functional. They have also found significant use in mathematics. Solutions of the equations are called Yang–Mills connections or instantons. The moduli space of instantons was used by Simon Donaldson to prove Donaldson's theorem.

Attributes	Values
rdfs:label	Yang–Mills equations (en)
rdfs:comment	In physics and mathematics, and especially differential geometry and gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on a vector bundle or principal bundle. They arise in physics as the Euler–Lagrange equations of the Yang–Mills action functional. They have also found significant use in mathematics. Solutions of the equations are called Yang–Mills connections or instantons. The moduli space of instantons was used by Simon Donaldson to prove Donaldson's theorem. (en)
foaf:depiction
dcterms:subject	Differential geometry Partial differential equations Mathematical physics
Wikipage page ID	35544664 (xsd:integer)
Wikipage revision ID	1117974735 (xsd:integer)
Link from a Wikipage to another Wikipage	Principle of least action Bianchi identity De Rham cohomology Hodge star operator Betti number Riemann surface Curvature form Definite quadratic form Deformed Hermitian Yang–Mills equation Donaldson's theorem Donaldson theory Instanton Lie algebra-valued differential form Lie group Differential geometry Compact space Connection (mathematics) Critical point (mathematics) Mathematics Maxwell's equations Chern–Simons theory Gauge group (mathematics) Gauge theory (mathematics) Obstruction theory Tangent bundle Yang–Mills theory Clifford Taubes Edward Witten Eigenvalue Equations of motion Geometric quantization Configuration space (mathematics) Connection (principal bundle) Connection (vector bundle) Levi-Civita connection Magnetic monopoles Bogomolny equations Simon Donaldson Compact Lie algebra Compactification (mathematics) dbr:Complex_projective_plane Physics Automorphism Adjoint bundle Werner Nahm Hausdorff space Adjoint representation Affine space Euler–Lagrange equation Euler–Lagrange equations Exterior covariant derivative Nigel Hitchin Partial differential equation Hitchin's equations Hitchin system Projective line Riemannian manifold Riemannian volume form Atiyah–Singer index theorem Intersection form (4-manifold) James Clerk Maxwell BPST instanton Cotangent bundle ADHM construction Partial differential equations Mathematical physics Chern class Karen Uhlenbeck Cobordism Hermitian Yang–Mills connection Higgs bundle Hodge theory Holonomy Moduli space Differential form Differential geometry Inner product Kähler manifold Michael Atiyah Orientability Raoul Bott Wolfgang Pauli Yang Chen-Ning Robert Mills (physicist) Vector bundle Principal bundle Nahm equations Narasimhan–Seshadri theorem Seiberg–Witten invariants

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software