Twist Functors and D-Branes
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 constructed.
English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 1, pp 18-34.
Citation Example: Burban I. I., Burban I. M. Twist Functors and D-Branes // Ukr. Mat. Zh. - 2005. - 57, № 1. - pp. 18–31.