Chern-Simons classes for a superconnection

DOI10.1016/J.EXMATH.2009.02.006zbMath1177.53023OpenAlexW2051515676MaRDI QIDQ1034542

Jaya N. N. Iyer, Uma N. Iyer

Publication date: 6 November 2009

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2009.02.006

zbMATH Keywords

connectionssupermanifoldssecondary classes

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05) Analysis on supermanifolds or graded manifolds (58C50)

Cites Work

• Superconnections and the Chern character
• Superconnection character forms and the Cayley transform
• All regulators of flat bundles are torsion
• Characteristic forms and geometric invariants
• Dual forms on supermanifolds and Cartan calculus
• Axiomatic characterization of ordinary differential cohomology
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