Noncommutative resolutions of ADE fibered Calabi-Yau threefolds

Quintero Velez, A. and Boer, A. (2010) Noncommutative resolutions of ADE fibered Calabi-Yau threefolds. Communications in Mathematical Physics, 297(3), pp. 597-619. (doi: 10.1007/s00220-010-1052-5)

Abstract

In this paper we construct noncommutative resolutions of a certain class of Calabi-Yau threefolds studied by F. Cachazo, S. Katz and C. Vafa. The threefolds under consideration are fibered over a complex plane with the fibers being deformed Kleinian singularities. The construction is in terms of a noncommutative algebra introduced by V. Ginzburg, which we call the "N=1 ADE quiver algebra".

• Item Type: Articles
• Additional Information: The original publication is available at www.springerlink.com
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Quintero Velez, Dr Alexander
• Authors: Quintero Velez, A., and Boer, A.
• Subjects: Q Science > QA Mathematics; Q Science > QC Physics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Communications in Mathematical Physics
• Journal Abbr.: Comm. Math. Phys.
• Publisher: Springer
• ISSN: 0010-3616
• ISSN (Online): 1432-0916
• Published Online: 17 May 2010
• Copyright Holders: Copyright © 2010 Springer
• First Published: First published in Communications in Mathematical Physics 297(3):597-619
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher