Constructions of nontautological classes on moduli spaces of curves
T. Graber, R. Pandharipande
Abstract
We construct explicit examples of algebraic cycles in Mg (for large g congruent to 2 mod 4) and in M2,20 (no bar) which are not in the tautological ring. In an appendix we give a general method for computing intersections in the tautological ring.
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