Volume 21, issue 2 (2017)

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Satoshi Kondo, Charles Siegel and Jesse Wolfson

Geometry & Topology 21 (2017) 903–922
Abstract

For each $k\ge 5$, we construct a modular operad ${\overline{\mathsc{ℰ}}}^{k}$ of “$k$–log-canonically embedded” curves. We also construct, for $k\ge 2$, a stable cyclic operad ${\overline{\mathsc{ℰ}}}_{c}^{k}$ of such curves, and, for $k\ge 1$, a cyclic operad ${\overline{\mathsc{ℰ}}}_{0,c}^{k}$ of “$k$–log-canonically embedded” rational curves.