Classical and Quantum Dynamics on Orbifolds

2011/11/23 by Yuri A. Kordyukov · 2 citations
Mathematics · #Action (physics) #Advanced Operator Algebra Research #Computer science #Covering space #Extension (predicate logic) #Geometric and Algebraic Topology #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Lie group #Manifold (fluid mechanics) #Mathematics #Noncommutative geometry #Orbifold #Orbit (dynamics) #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #math.DG #math.DS

paper · pdf · doi:10.3842/sigma.2011.106

published in Symmetry Integrability and Geometry Methods and Applications (National Academy of Sciences of Ukraine)

arxiv created 2011/11/23 · openalex publication_date 2011/11/23 · arxiv updated 2011/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit space of a Lie group action, and deals with the corresponding objects in noncommutative geometry.

Citations

• Seeley's Theory of Pseudodifferential Operators on Orbifolds
• Introduction to Foliations and Lie Groupoids
• Current-Like Variables in Massive and Massless Integrable Models
• Wall-crossing of the motivic Donaldson-Thomas invariants
• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Reduction of symplectic manifolds with symmetry
• Cluster algebras IV: Coefficients
• Stratified Symplectic Spaces and Reduction