6 citations · 24 across the 9 of their papers we have counts for
8 papers · 1 filter
Gromov-Witten invariants for varieties with C* action
Anca Mustata, Andrei Mustata
For any smooth projective variety with a C* action, we reduce the problem of computing its Gromov-Witten invariants to the similar problem for its fixed locus. Starting from the st…
A virtual fundamental class construction for the moduli space of torus equivariant morphisms
Andrei Mustata
Let X be a smooth projective variety with the action of the n dimensional torus. The article describes the moduli space of torus equivariant morphisms from stable toric varieties i…
A universal étale lift of a proper local embedding
Anca Mustata, Andrei Mustata
To any finite local embedding of Deligne--Mumford stacks we associate an étale, universally closed morphism such that for the complement of the i…
The structure of a local embedding and applications to Chern classes of weighted blow-ups
Anca M. Mustata, Andrei Mustata
For a proper local embedding between two Deligne--Mumford stacks Y and X, we find, under certain mild conditions, a new (possibly non-separated) Deligne--Mumford stack X', with an…
Tautological rings of stable map spaces
Anca M. Mustata, Andrei Mustata
We find a set of generators and relations for the system of extended tautological rings associated to the moduli spaces of stable maps in genus zero, admitting a simple geometrical…
Universal relations on stable map spaces in genus zero
Anca M. Mustata, Andrei Mustata
We introduce a factorization for the map between moduli spaces of stable maps which forgets one marked point. This leads to a study of universal relations in the cohomology of stab…