Algebraic structures of F -manifolds via pre-Lie algebras
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ID: 117471
2018
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Abstract
We relate the operad $${\textit{FMan}}$$ FMan controlling the algebraic structure on the tangent sheaf of an F-manifold (weak Frobenius manifold) defined by Hertling and Manin to the operad $${\textit{PreLie}}$$ PreLie of pre-Lie algebras: for the filtration of $${\textit{PreLie}}$$ PreLie by powers of the ideal generated by the Lie bracket, the associated graded object is $${\textit{FMan}}$$ FMan .
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dotsenko2018annalialgebraic
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| Authors | Vladimir Dotsenko;Vladimir Dotsenko; |
| Journal | annali di matematica pura ed applicata (1923 -) |
| Year | 2018 |
| DOI |
doi:10.1007/s10231-018-0787-z
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