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Geometry of Differential Forms Shigeyuki Morita
Publisher: American Mathematical Society

In addition, classical differential geometry lacks the techniques that are widely applied in theoretical physics, such as differential forms. Sadie Sobers - Cyclic Homology in Non-Commutative Geometry . When the underlying principal 2-bundle over a smooth manifold X is topologically trivial, then the connections on it are identified with Lie 2-algebra valued differential forms on X . Olivier Brahic, On the infinitesimal Gauge Symmetries of closed forms (arXiv). Let 𝔤 be some Lie 2-algebra. Recall from the discussion there what such form data looks like. This is a pity because SDG allows you to do an amazing thing - write computer programs that easily manipulate objects such as vector fields and differential forms on manifolds without doing symbolic algebra. Differential geometry is obsolete. Or press here : Download Differential Forms and Connections. CARTAN'S LEMMAS ON DIFFERENTIAL FORMS. Traces of Differential Forms and Hochschild Homology e- book Hochschild (co)homology of differential. Examples of 2-connections with vanishing 2-form curvature obtained from geometric quantization are discusssed in.