On the components of the gauge group for PU(r)-bundles

2013/11/21 by David L. Duncan, Duncan, David L. · 1 citation
Mathematics · #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.1311.5611

18 pages

arxiv created 2013/11/21 · openalex publication_date 2013/11/21 · arxiv updated 2013/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a general procedure for using characteristic classes to study the components of the gauge group for a principal G-bundle. To illustrate this, we work out the case where G is the projective unitary group.

Cited by

• Higher-rank instanton cohomology and the quilted Atiyah-Floer conjecture

Related

• Homotopy types of gauge groups of PU(p)-bundles over spheres
• The general caloron correspondence
• The homotopy types of U(n)-gauge groups over lens spaces
• On a Certain Stratification of the Gauge Orbit Space
• About extending the Chern-Weil classification to the simplicial principal bundles