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), $\overline{\mathcal{M}}_{g,n}$ (PDF), Turkish Journal of Mathematics 25 (1): 237–243, MR 1829089