Intermediate moduli spaces of stable maps

By Andrei Mustaţǎ, Magdalena Anca Mustaţǎ. 2004

66 citations recorded by the source corpus.

We describe the Chow ring with rational coefficients of $\overline{M}_{0,1}(\mathbb{P}^n,d)$ as the subring of invariants of a ring $B^*(\overline{M}_{0,1}(\mathbb{P}^n,d);\mathbb{Q})$, relative to the action of the group of symmetries Sd. We compute $B^*(\overline{M}_{0,1}(\mathbb{P}^n,d);\mathbb{Q})$ by following a sequence of intermediate spaces for $\overline{M}_{0,1}(\mathbb{P}^n,d)$.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a3fa734210de64311752d0f64315f1f71b60bd65

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Orbifold quasimap theory (2014, background): “The theory of ε-stable quasimaps to a large class of GIT quotient targets was developed in [12], generalizing and unifying the earlier works [26, 8, 28, 30].”
Stable quasimaps to GIT quotients (2011, background): “This was first noticed and proved some time ago by Mustaţă and Mustaţă in [40, 41].”
The orbifold cohomology ring of simplicial toric stack bundles (2005, result): “Finally we generalize one result of Borisov, Chen and Smith so that the orbifold Chow ring of the toric stack bundle and the Chow ring of its crepant resolution are fibres of a flat family.”