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.

引用

页码：517 / 527

页数：11

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