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

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.

arXiv commentpreliminary version; comments welcome

References in corpus (6)

• Two-dimensional topological gravity and equivariant cohomology
• The structure of the tautological ring in genus one
• Topology of moduli spaces of tropical curves with marked points
• Oriented hairy graphs and moduli spaces of curves
• Six operations formalism for generalized operads
• Deformation theory of Cohomological Field Theories