Twist Functors and D-Branes

• Date: 2005
• Main Authors: Burban, I. I., Burban, I. M., Бурбан, І. І., Бурбан, І. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3571
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We discuss a categorical approach to the investigation of topological D-branes. Twist functors and their induced action on the cohomology ring of a manifold are studied. A nontrivial spherical object of the derived category of coherent sheaves of a reduced plane singular curve of degree 3 is constru...