Abstract
We prove a conjecture of Pixton, namely that his proposed formula for the double ramification cycle on ℳg,n vanishes in codimension beyond g. This yields a collection of tautological relations in the Chow ring of ℳg,n. We describe, furthermore, how these relations can be obtained from Pixton’s 3-spin relations via localization on the moduli space of stable maps to an orbifold projective line.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1069-1108 |
| Number of pages | 40 |
| Journal | Geometry and Topology |
| Volume | 22 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 16 2018 |
| Externally published | Yes |
Keywords
- Moduli of curves
- Tautological relations
- Tautological ring
ASJC Scopus subject areas
- Geometry and Topology