The connection between R-* (C-g(n)) and R-* (M-g,n(rt))
Journal of Pure and Applied Algebra | ELSEVIER SCIENCE BV | Published : 2018
We study the connection between tautological classes on the moduli spaces Cgn and Mg,nrt. A conjectural connection between tautological relations on Cgn and Mg,nrt is described. The analogue of this conjecture for the Gorenstein quotients of tautological rings is proved.
This note was prepared during my stay at KdV Instituut voor Wiskunde in the research group of Sergey Shadrin. I was supported by the research grant IBS-R003-S1. Discussions with Carel Faber and Qizheng Yin inspired this study. I am grateful to Pierre Deligne for his useful remarks on the preliminary version of this note.