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math.AG2006★ 33 cited
Branes, Bundles and Attractors: Bogomolov and Beyond
Michael R. Douglas, Rene Reinbacher, Shing-Tung Yau
We discuss conjectures following from the attractor mechanism in type II string theory about the possible Chern classes of stable holomorphic vector bundles on Calabi-Yau threefold…
math.AG2002★ 157 cited
Dirichlet branes, homological mirror symmetry, and stability
Michael R. Douglas
We discuss some mathematical conjectures which have come out of the Dirichlet branes in superstring theory, focusing on the case of supersymmetric branes in Calabi-Yau compactifica…
math.AG2000
D-Branes on Calabi-Yau Manifolds
Michael R. Douglas
We give an overview of recent work on Dirichlet branes on Calabi-Yau threefolds which makes contact with Kontsevich's homological mirror symmetry proposal, proposes a new definitio…