The kappa classes on the moduli spaces of curves
R. Pandharipande

TL;DR
This paper introduces recent advances in the algebra of kappa classes on moduli spaces of curves, highlighting new results and open questions in algebraic geometry.
Contribution
It provides an accessible overview of recent progress and open problems regarding kappa classes on moduli spaces of curves.
Findings
Progress in understanding kappa class algebra
New results on moduli space structure
Open questions in algebraic geometry
Abstract
In the past few years, substantial progress has been made in the understanding of the algebra of kappa classes on the moduli spaces of curves. My goal here is to provide a short introduction to the new results. Along the way, I will discuss several open questions. The article accompanies my talk at "A celebration of algebraic geometry" at Harvard in honor of the 60th birthday of J. Harris.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry
