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Derived modular envelopes and moduli spaces of bordered Riemann surfaces

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HHH - Homotopy harnessing higher structures

We study the derived modular envelope of several cyclic operads. More specifically, using a cyclic W-construction as cofibrant replacement we get a derived modular envelope (of the cyclic operad of planar structures) which can be interpreted as a ribbon graph model for the corresponding moduli space of bordered Riemann surfaces. (Joint work with Ralph Kaufmann).




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