WebDirichlet Branes and Mirror Symmetry. Research in string theory over the last several decades has yielded a rich interaction with algebraic geometry. In 1985, the introduction … WebD-branes and K-theory in 2D topological field theory --Open strings and Dirichlet branes --Representation theory, homological algebra, and geometry --Dirichlet branes and stability conditions --The Strominger-Yau-Zaslow picture of mirror symmetry --Metric aspects of Calabi-Yau manifolds --The mathematics of homological mirror symmetry.

Mirror symmetry (string theory) - Wikipedia

WebIn a difierent direction, the framework of mirror symmetry was extended by Batyrev, Givental, Hori,Vafa,etc.tothecaseofFanomanifolds. In this paper, we approach mirror symmetry for Fano manifolds from the point of view suggested by the ... Conjecture1.1.The category of A-branes D(Lagvc(W)) is equivalent to the derived category of coherent WebOur results suggest that Kontsevich's conjecture must be modified: coherent sheaves must be replaced with modules over Azumaya algebras, and the Fukaya category must be … glock front sight no screw

Anomalies and Graded Coisotropic Branes – arXiv Vanity

WebHomological Mirror Symmetry Conjecture Now we want to work with open string theories and add D-branes to our mirror story. We will focus on the category of topological D-brane. Let (M;I;›;!;B) be the data of CY 3-fold. We can associate two categories Topo … WebAssuming in addition Homological Mirror Symmetry, our results enable one to compute the Fukaya category for a large class of Fano varieties. We also provide a (somewhat trivial) counter-example to the hypothesis that given a closed string background there is a unique set of D-branes consistent with it. 展开 glock front sights by height