Algebraic structures of $F$-manifolds via pre-Lie algebras
Category Theory
2020-10-15 v2 K-Theory and Homology
Quantum Algebra
Abstract
We relate the operad FMan controlling the algebraic structure on the tangent sheaf of an -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.
Cite
@article{arxiv.1706.07340,
title = {Algebraic structures of $F$-manifolds via pre-Lie algebras},
author = {Vladimir Dotsenko},
journal= {arXiv preprint arXiv:1706.07340},
year = {2020}
}
Comments
7 pages, comments are welcome