Orbifold Gromov-Witten Invariants of Weighted Blow-up at Smooth Points
Weiqiang He, Jianxun Hu
TL;DR
This paper investigates how orbifold Gromov-Witten invariants change when performing weighted blow-ups at smooth points, extending known manifold results to orbifolds and establishing new blow-up formulas.
Contribution
It introduces new blow-up formulas for orbifold Gromov-Witten invariants at smooth points, generalizing existing manifold results to orbifold settings.
Findings
Proved blow-up formulas for orbifold Gromov-Witten invariants.
Extended manifold blow-up results to orbifold cases.
Provided computational tools for orbifold invariants.
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology