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math-ph2011★ 44 cited
A higher Chern-Weil derivation of AKSZ sigma-models
Domenico Fiorenza, Christopher L. Rogers, Urs Schreiber
Chern-Weil theory provides for each invariant polynomial on a Lie algebra g a map from g-connections to differential cocycles whose volume holonomy is the corresponding Chern-Simon…
math-ph2011★ 39 cited
Higher Symplectic Geometry
Christopher L. Rogers
We consider generalizations of symplectic manifolds called n-plectic manifolds. A manifold is n-plectic if it is equipped with a closed, nondegenerate form of degree n+1. We show t…