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In this paper we present a construction which is a generalization of theexterior algebra of a vector space $V$. We show how this fits in the languageof operads, discuss some properties, and give explicit computations for thecase $dim(V)=2$.

The Exterior Graded Swiss-Cheese Operad ${\Lambda}^{S^2}_V$ (with an appendix by Ana Lorena Gherman and Mihai D. Staic)