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# Tautological ring

In algebraic geometry, the tautological ring is (roughly) the subring of the Chow ring of the moduli space of curves generated by tautological classes.

See also

ELSV formula

Hodge bundle

Witten's conjecture

References

Vakil, Ravi (2003), "The moduli space of curves and its tautological ring" (PDF), Notices of the American Mathematical Society 50 (6): 647–658, MR 1988577

Graber, Tom; Vakil, Ravi (2001), "On the tautological ring of \( \overline{\mathcal{M}}_{g,n} \)" (PDF), Turkish Journal of Mathematics 25 (1): 237–243, MR 1829089

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