Orbifold Gromov-Witten theory of weighted blowups

B Chen, CY Du, R Wang - Science China Mathematics, 2020 - Springer
Consider a compact symplectic sub-orbifold groupoid S of a compact symplectic orbifold
groupoid (X, ω). Let X a be the weight-a blowup of X along S, and D a= PN a be the …

Relative Gromov-Witten invariants of projective completions of vector bundles

C Du - Science China Mathematics, 2019 - Springer
It was proved by Fan and Lee (2016) and Fan (2017) that the absolute Gromov-Witten
invariants of two projective bundles ℙ (V i)→ X are identified canonically when the total …

A quantum splitting principle and an application

H Fan - Annales de l'Institut Fourier, 2019 - numdam.org
We propose an analogy of splitting principle in genus-0 Gromov–Witten theory. More
precisely, we show how the Gromov–Witten theory of a variety X can be embedded into the …