S ep 2 00 6 GROMOV - WITTEN INVARIANTS OF P 2 - STACKS
نویسنده
چکیده
The Gromov-Witten theory of Deligne-Mumford stacks is a recent development , and hardly any computations have been done beyond 3-point genus 0 invariants. This paper provides explicit recursions which, together with some invariants computed by hand, determine all genus 0 invariants of the stack P 2 D,2. Here D is a smooth plane curve and P 2 D,2 is locally isomorphic to the stack quotient [U/(Z/(2))], where U → V ⊂ P 2 is a double cover branched along D ∩ V. The introduction discusses an enumerative application of these invariants.
منابع مشابه
1 M ay 2 00 5 Gromov - Witten Invariants of P 2 - Stacks
The Gromov-Witten theory of Deligne-Mumford stacks is a recent development, and hardly any computations have been done beyond 3-point genus 0 invariants. This paper provides explicit recursions which, together with some invariants computed by hand, determine all genus 0 invariants of the stack PD,2 . Here D is a smooth plane curve and PD,2 is locally isomorphic to the stack quotient [U/(Z/(2))]...
متن کاملm at h . A G ] 1 5 Ju l 2 00 5 Gromov - Witten Invariants of P 2 - Stacks
The Gromov-Witten theory of Deligne-Mumford stacks is a recent development, and hardly any computations have been done beyond 3-point genus 0 invariants. This paper provides explicit recursions which, together with some invariants computed by hand, determine all genus 0 invariants of the stack PD,2 . Here D is a smooth plane curve and PD,2 is locally isomorphic to the stack quotient [U/(Z/(2))]...
متن کاملGromov - Witten Invariants of P 2 - Stacks
The Gromov-Witten theory of Deligne-Mumford stacks is a recent development , and hardly any computations have been done beyond 3-point genus 0 invariants. This paper provides explicit recursions which, together with some invariants computed by hand, determine all genus 0 invariants of the stack P 2 D,2. Here D is a smooth plane curve and P 2 D,2 is locally isomorphic to the stack quotient [U/(Z...
متن کاملM ar 2 00 3 GROMOV - WITTEN INVARIANTS OF THE HILBERT SCHEME OF 3 - POINTS ON P 2
Using obstruction bundles, composition law and localization formula, we compute certain 3-point genus-0 Gromov-Witten invariants of the Hilbert scheme of 3-points on the complex projective plane. Our results partially verify Ruan’s conjecture about quantum corrections for this Hilbert scheme.
متن کاملJ un 2 00 5 FROM ZWIEBACH INVARIANTS TO GETZLER RELATION
We introduce the notion of Zwiebach invariants that generalize Gromov-Witten invariants and homotopical algebra structures. We outline the induction procedure that induces the structure of Zwiebach on the subbicomplex, that gives the structure of Gromov-Witten invariants on subbicomplex with zero diffferentials. We propose to treat Hodge dGBV with 1/12 axiom as the simplest set of Zwiebach inva...
متن کامل