Algebraic structures of F-manifolds via pre-Lie algebras

被引：25
|
作者：
Dotsenko, Vladimir [1 ]
机构：
[1] Trinity Coll Dublin, Sch Math, Dublin 2, Ireland
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2019年 / 198卷 / 02期
关键词：
F-manifold; Pre-Lie algebra; Operad; Minimal model;
D O I：
10.1007/s10231-018-0787-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 isFMan.
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页码：517 / 527
页数：11
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