A remark on a conjecture of Hain and Looijenga

Abstract

After recalling the various tautological algebras of the moduli space of curves and some of its partial compactifications and stating several well-known results and conjectures concerning these algebras, we prove that the natural extension to the case of pointed curves of a 1996 conjecture of Hain and Looijenga is true if and only if two of the stated conjectures are true.

arXiv comment6 pages. To appear in Annales de l'Institut Fourier (Grenoble)

Cited by in corpus (3)

• The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
• The tautological ring of the moduli space M_{2,n}^rt
• The moduli space of curves and its invariants