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

Ben C. Ward

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arXiv · 2011.01171

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

Ben C. Ward

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Abstract

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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Ben C. Ward. 2020-11-02. Toward a minimal model for $H_\ast(\overline{\mathcal{M}})$. https://arxiv.org/abs/2011.01171

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