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20112020
most citedRelations in the tautological ring

30 citations · 58 across the 4 of their papers we have counts for

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6 papers · 1 filter

math.AG2020

Gromov-Witten theory of K3 surfaces and a Kaneko-Zagier equation for Jacobi forms

Jan-Willem van Ittersum, Georg Oberdieck, Aaron Pixton

We prove the existence of quasi-Jacobi form solutions for an analogue of the Kaneko--Zagier differential equation for Jacobi forms. The transformation properties of the solutions u…

math.AG2018

Double ramification cycles with target varieties

F. Janda, R. Pandharipande, A. Pixton +1

Let X be a nonsingular projective algebraic variety, and let S be a line bundle on X. Let A = (a_1,..., a_n) be a vector of integers. Consider a map f from a pointed curve (C,x_1,.…

math.AG2018

Generalized boundary strata classes

Aaron Pixton

We describe a generalization of the usual boundary strata classes in the Chow ring of . The generalized boundary strata classes additively span a subr…

math.AG2017

Multiplicativity of the double ramification cycle

David Holmes, Aaron Pixton, Johannes Schmitt

The double ramification cycle satisfies a basic multiplicative relation DRC(a).DRC(b) = DRC(a).DRC(a + b) over the locus of compact-type curves, but this relation fails in the Chow…

math.AG201228 cited

Conjectural relations in the tautological ring of

Aaron Pixton

We describe a very large class of conjectural relations in the tautological ring of the moduli space of stable curves of genus with marked points, extending…

math.AG201130 cited

Relations in the tautological ring

R. Pandharipande, A. Pixton

These notes cover our series of three lectures at Humboldt University in Berlin for the October 2010 conference "Intersection theory on moduli space" (organized by G. Farkas). The…