• Corpus ID: 226236759

# Toward a minimal model for $H_\ast(\overline{\mathcal{M}})$.

@article{Ward2020TowardAM,
title={Toward a minimal model for \$H\_\ast(\overline\{\mathcal\{M\}\})\$.},
author={Benjamin C. Ward},
journal={arXiv: Algebraic Topology},
year={2020}
}
The modular operad $H_\ast(\overline{\mathcal{M}}_{g,n})$ of the homology of Deligne-Mumford compactifications of moduli spaces of pointed Riemann surfaces has a minimal model governed by higher homology operations on the open moduli spaces $H_\ast(\mathcal{M}_{g,n})$. Using Getzler's elliptic relation, we give an explicit construction of the first family of such higher operations.

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