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arXiv · 1706.07340

Algebraic structures of $F$-manifolds via pre-Lie algebras

Vladimir Dotsenko
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Abstract

We relate the operad FMan controlling the algebraic structure on the tangent sheaf of an $F$-manifold (weak Frobenius manifold) defined by Hertling and Manin to the operad PreLie of pre-Lie algebras: for the filtration of PreLie by powers of the ideal generated by the Lie bracket, the associated graded object is FMan.

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BibTeXRIS

Vladimir Dotsenko. 2017-06-22. Algebraic structures of $F$-manifolds via pre-Lie algebras. https://doi.org/10.1007/s10231-018-0787-z

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