@article{Kondo2014ModularOO,
title={Modular Operads of Embedded Curves},
author={Satoshi Kondo and Charles Siegel and Jesse Wolfson},
journal={arXiv: Algebraic Geometry},
year={2014}
}

We develop a ‘higher genus’ analogue of operads, which we call modular operads, in which graphs replace trees in the definition. We study a functor F on the category of modular operads, the Feynman… Expand

D.Mumford conjectured in (30) that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra generated by certain classes i of di- mension 2i. For the purpose of… Expand

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