Stability conditions on a non-compact Calabi-Yau threefold

Journal article

We study the space of stability conditions Stab(X) on the non-compact Calabi-Yau threefold X which is the total space of the canonical bundle of double-struk P sign 2. We give a combinatorial description of an open subset of Stab(X) and state a conjecture relating Stab(X) to the Frobenius manifold obtained from the quantum cohomology of double-struk P sign 2. We give some evidence from mirror symmetry for this conjecture.

Authors: Bridgeland, T

• Journal: Communications in Mathematical Physics
• Volume: 266
• Issue: 3
• Pages: 715-733
• Publication date: 2006-09-01
• DOI: 10.1007/s00220-006-0048-7
• EISSN: 1432-0916
• ISSN: 0010-3616
• Language: English