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

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arxiv 2212.04667 v2 pith:YMJMXN42 submitted 2022-12-09 math-ph math.MP

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

Danhua Song , Mengyao Wu , Ke Wu , Jie Yang This is my paper
classification math-ph math.MP
keywords higherchern-simonsgeneralizedformsconnectionscrosseddifferentialmodules
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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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