Double ramification cycles on the moduli spaces of admissible covers

Abstract

We derive a formula for the virtual class of the moduli space of rubber maps to $[{\mathbb{P}}^1/G]$ pushed forward to the moduli space of stable maps to $BG$. As an application, we show that the Gromov-Witten theory of $[{\mathbb{P}}^1/G]$ relative to $0$ and $\infty$ are determined by known calculations.

17 pages, preliminary version, comments are very welcome! v2. various corrections. comments still very welcome

References in corpus (2)

• Double ramification cycles on the moduli spaces of curves
• A quantum Leray-Hirsch theorem for banded gerbes

Cited by in corpus (5)

• Higher genus relative and orbifold Gromov-Witten invariants of curves
• A Gromov-Witten theory for simple normal-crossing pairs without log geometry
• Orbifold Gromov--Witten theory of weighted blowups
• Double ramification cycles with orbifold targets
• On the geometry of orbifold Gromov-Witten invariants