Extended modular operad
Algebraic Geometry
2007-05-23 v2
Abstract
This paper is a sequel to [LoMa] where moduli spaces of painted stable curves were introduced and studied. We define the extended modular operad of genus zero, algebras over this operad, and study the formal differential geometric structures related to these algebras: pencils of flat connections and Frobenius manifolds without metric. We focus here on the combinatorial aspects of the picture. Algebraic geometric aspects are treated in [Ma2].
Keywords
Cite
@article{arxiv.math/0301003,
title = {Extended modular operad},
author = {A. Losev and Yu. Manin},
journal= {arXiv preprint arXiv:math/0301003},
year = {2007}
}
Comments
38 pp., amstex file, no figures. This version contains additional references and minor changes