Orbifold Gromov-Witten Invariants of Weighted Blow-up at Smooth Points

Abstract

In this paper, one considers the change of orbifold Gromov-Witten invariants under weighted blow-up at smooth points. Some blow-up formula for Gromov-Witten invariants of symplectic orbifolds is proved. These results extend the results of manifolds case to orbifold case.

24 pages. arXiv admin note: text overlap with arXiv:1307.2088 by other authors. To appear in Acta Math. Sinica

References in corpus (4)

• Birational cobordism invariance of uniruled symplectic manifolds
• Orbifold techniques in degeneration formulas
• Virtual neighborhood technique for pseudo-holomorphic spheres
• Relative orbifold Gromov-Witten theory and degeneration formula