Algebraic structures on the topology of moduli spaces of curves and maps
We discuss selected topics on the topology of moduli spaces of curves and maps, emphasizing their relation with Gromov--Witten theory and integrable systems.
math.AG↗
arXiv subjects
R. Vakil
Publications and source records attributed to R. Vakil.
On the tautological ring of $\bar{M}_{g,n}$
We prove that the dimension 0 part of the tautological ring of the moduli space of stable pointed curves is one-dimensional. This provides the first genus-free evidence for a conjecture of Faber and Pandharipande that the tautological ring of the moduli space is Gorenstein, answering in the affirmative a question of Hain and Looijenga.
math.AG↗