properad

properad (plural properads)

1. (mathematics) A specific type of operad
   • 2015, Sergei Merkulov, Thomas Willwacher, “Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves”, in arXiv‎:

     If a properad ${\displaystyle {\mathcal {P}}}$ is in addition equipped with a map from the properad governing Lie bialgebras (or graded versions thereof), then we define a notion of ${\displaystyle {\mathcal {P}}}$-graph complex, of stable ${\displaystyle {\mathcal {P}}}$-graph complex and a certain operad, that is in good cases an ${\displaystyle E_{d}}$ operad.

• properadic