Quantum cohomology of projective bundles over P^n

Abstract

In this paper, we attempt to determine the quantum cohomology of projective bundles over the projective space P^n. In contrast to the previous examples, the relevant moduli spaces in our case frequently do not have expected dimensions. It makes the calculation more difficult. We overcome this difficulty by using excessive intersection theory.

References in corpus (3)

• Quantum Cohomology Rings of Toric Manifolds
• The quantum cohomology of homogeneous varieties
• On Quantum Cohomology Rings of Fano Manifolds and a Formula of Vafa and Intriligator

Cited by in corpus (3)

• Virtual neighborhoods and pseudo-holomorphic curves
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• On the quantum cohomology of blow-ups of projective spaces along linear subspaces