Double ramification cycles and tautological relations
Connections for Women: Enumerative Geometry Beyond Numbers January 18, 2018 - January 19, 2018
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
Moduli space of curves
tautological ring
Gromov-Witten theory
4-Clader
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.
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