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arXiv · 0710.3550

Free frobenius algebra on the differential forms of a manifold

Scott O. Wilson
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Abstract

We construct an action of a free resolution of the Frobenius properad on the differential forms of a closed oriented manifold. As a consequence, the forms of a manifold with values in a semi-simple Lie algebra have an additional structure given by an action of a free resolution of the properad describing Lie di-algebras with module compatibility.

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Scott O. Wilson. 2007-10-18. Free frobenius algebra on the differential forms of a manifold. https://arxiv.org/abs/0710.3550

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