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
S ep 2 00 6 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 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 کامل1 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 کاملStable Gauged Maps
We give an introduction to moduli stacks of gauged maps satisfying a stability conditition introduced by Mundet [55] and Schmitt [61], and the associated integrals giving rise to gauged Gromov-Witten invariants. We survey various applications to cohomological and Ktheoretic Gromov-Witten invariants.
متن کاملThe Crepant Resolution Conjecture for [sym 2 P 2 ]
The crepant resolution conjecture states that the Gromov–Witten invariants of an orbifold X should be determined in a precise way by the Gromov–Witten invariants of a crepant resolution of its coarse moduli space. We compute the Gromov–Witten invariants of the stack symmetric square of P 2 and compare them with the Gromov– Witten invariants of its crepant resolution, Hilb 2 P 2 (which were comp...
متن کامل