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

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Abstract

The modular operad \(H_*(\overline{\mathcal {M}}_{g,n})\) 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 \(H_*(\mathcal {M}_{g,n})\). Using Getzler’s computation of relations among boundary cycles in \(H_4(\overline{\mathcal {M}}_{1,4})\), we give an explicit construction of the first family of such higher operations.

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  1. Bowling Green State University, Bowling Green, OH, USA

    Benjamin C. Ward

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  1. Benjamin C. Ward
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Correspondence to Benjamin C. Ward.

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Communicated by Craig Westerland.

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Ward, B.C. Toward a minimal model for \(H_*(\overline{\mathcal {M}})\). J. Homotopy Relat. Struct. 17, 465–492 (2022). https://doi.org/10.1007/s40062-022-00313-y

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