nLab
modular operad

Contents

Idea

A modular operad is an operad that has the kind of extra structure which is exhibited by the operad whose nn-ary operations are Riemann surfaces with (n+1)(n+1)-punctures, and whose composition is sewing of such surfaces. Every modular operad has a structure of a cyclic operad and also some additional structure.

Motivations

  • 2d TQFT
  • constructing graph complexes of Kontsevich as Feynman transforms of suitable twisted modular operad?s

References

Revised on December 17, 2010 14:37:56 by Urs Schreiber (131.211.232.207)