Higher Chern-Simons based on (2-)crossed modules

Abstract

We present higher Chern-Simons theories based on (2-)crossed modules. We start from the generalized differential forms in Generalized Differential Calculus and define the corresponding generalized connections which consist of higher connections. Then we establish the generalized Chern-Simons forms to get the higher Chern-Simons actions. Finally, we develop the higher second Chern forms and Chern-Weil theorems.

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• Higher-Dimensional Algebra V: 2-Groups
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Cited by in corpus (4)

• Higher Gauge Theory and Integrability
• Extended Cartan homotopy formula for higher Chern-Simons-Antoniadis-Savvidy theory
• Higher (gauged) Wess--Zumino--Witten terms based on Lie crossed modules
• Adjusting Higher Chern-Simons Theory