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Twist Functors and D-Branes

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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.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 1, pp. 18–31, January, 2005.

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Burban, I.I., Burban, I.M. Twist Functors and D-Branes. Ukr Math J 57, 18–34 (2005). https://doi.org/10.1007/s11253-005-0169-8

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  • DOI: https://doi.org/10.1007/s11253-005-0169-8

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