Hamiltonian Gromov-Witten invariants on .n+1 with S 1-action

Authors
Li, Ti Yao Chen, Bo Hui
Citation
Li, Ti Yao et Chen, Bo Hui, Hamiltonian Gromov-Witten invariants on .n+1 with S 1-action, Acta mathematica Sinica. English series (Print) , 32(3), 2016, pp. 309-330
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
3
Year of publication
2016
Pages
309 - 330
Database
ACNP
SICI code
Abstract
Consider a Hamiltonian action of S1 on (Cn+1, . std), we shown that the Hamiltonian Gromov.Witten invariants of it are well-defined. After computing the Hamiltonian Gromov.Witten invariants of it, we construct a ring homomorphism from H.S1,CR(X,R) to the small orbifold quantum cohomology of X// . S 1 and obtain a simpler formula of the Gromov.Witten invariants for weighted projective space.