Free frobenius algebra on the differential forms of a manifold

Details Free frobenius algebra on the differential forms of a manifold Free frobenius algebra on the differential forms of a manifold

2007-10-18

arxiv.org/abs/0710.3550v2

Mathematics

Quantum Algebra

7 pages. minor type changes

Scientific paper

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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