Cotangent bundle reduction

2005/08/31 by Juan‐Pablo Ortega, Juan-Pablo Ortega, Ortega, Juan-Pablo +3
Arts and Humanities · Mathematics · #37Jxx #53D20 #53Dxx #70Hxx #Differential Geometry (math.DG) #FOS: Mathematics #Medieval European Literature and History #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:37Jxx #msc:53D20 #msc:53Dxx #msc:70Hxx

paper · pdf · doi:10.48550/arxiv.math/0508636

11 pages. To appear in the Encyclopedia of Mathematical Physics. Jean-Pierre Françoise, Greg Naber, Sheung Tsun Tsou (editors). Elsevier

arxiv created 2005/08/31 · openalex publication_date 2005/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This encyclopedia article briefly reviews without proofs some of the main results in cotangent bundle reduction. The article recalls most the necessary prerequisites to understand the main results.

Related

• Locally conformally symplectic reduction of the cotangent bundle
• A cotangent bundle slice theorem
• Tamarkin's separation theorem for non-compact objects in cotangent bundles
• Constructions with bundle gerbes
• Twisted Conormal Bundles and Canonical Relations