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math.AT2013★ 3 cited
The modular envelope of the cyclic operad Ass
Martin Doubek
We give a direct combinatorial proof that the modular envelope of the cyclic operad Ass is the modular operad of (the homeomorphism classes of) 2D compact surfaces with boundary wi…
math.AT2013
Modular operads and the quantum open-closed homotopy algebra
Martin Doubek, Branislav Jurco, Korbinian Muenster
We verify that certain algebras appearing in string field theory are algebras over Feynman transform of modular operads which we describe explicitly. Equivalent description in term…