Ruan's Conjecture on Singular symplectic flops

TL;DR

This paper proves that orbifold quantum rings remain unchanged under singular symplectic flops, confirming Ruan's conjecture for this specific case in symplectic geometry.

Contribution

It establishes the invariance of orbifold quantum rings under singular symplectic flops, verifying Ruan's conjecture in this context.

Findings

Orbifold quantum rings are preserved under singular symplectic flops.

Ruan's conjecture is verified for singular symplectic flops.

The result advances understanding of symplectic geometry and orbifold invariants.

Abstract

We prove that the orbifold quantum ring is preserved under singular symplectic flops. Hence we verify Ruan's conjecture for this case.