Relations on Mbar_{g,n} via orbifold stable maps

Abstract

Using the equivariant virtual cycle of the moduli space of stable maps to [C/Z_r], or equivalently, the vanishing of high-degree Chern classes of a certain vector bundle over the moduli space of stable maps to BZ_r, we derive relations in the Chow ring of Mbar_{g,n}(BZ_r,0). These push forward to yield tautological relations on Mbar_{g,n}.

13 pages

References in corpus (6)

• Relations in the tautological ring of the moduli space of curves
• Equivariant Gromov-Witten theory of one dimensional stacks
• Relations in the tautological ring
• Conjectural relations in the tautological ring of ${\bar{M}}_{g,n}$
• Relations on Mbar_{g,n} via 3-spin structures
• Tautological relations in moduli spaces of weighted pointed curves

Cited by in corpus (1)

• Powers of the theta divisor and relations in the tautological ring