Duflo Isomorphism and Chern-Weil Theory

2015/02/26 by Seunghun Hong, Hong, Seunghun
Mathematics · #53C27 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Primary 19K56 #Secondary 58J35

paper · pdf · doi:10.48550/arxiv.1502.07342

openalex publication_date 2015/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain how the distributional index of a transversally elliptic operator on a principal G-manifold P that is obtained by lifting a Dirac operator on P/G can serve as a link between the Duflo isomorphism and Chern-Weil forms.

Citations

• The non-commutative Weil algebra

Related

• The eta invariant and equivariant index of transversally elliptic operators
• Chern-Weil forms and abstract homotopy theory
• Index Theory of Non-compact G-manifolds
• The Deligne-Riemann-Roch isomorphism
• Index theorey and Non-Commutative Geometry. II. Dirac operators and index bundles