Videos

Double ramification cycles and tautological relations

Presenter
January 18, 2018
Keywords:
  • Moduli space of curves
  • tautological ring
  • Gromov-Witten theory
MSC:
  • 14-xx
Abstract
Tautological relations are certain equations in the Chow ring of the moduli space of curves. I will discuss a family of such relations, first conjectured by A. Pixton, that arises by studying moduli spaces of ramified covers of the projective line. These relations can be used to recover and strengthen a number of well-known facts about the moduli space of curves, such as Graber-Vakil’s celebrated “Theorem Star.” This is joint work with F. Janda, S. Grushevsky, and D. Zakharov.