The kappa classes on the moduli spaces of curves
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classescurveskappamodulispacesaccompaniesalgebraalgebraic
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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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