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Equivalence of D-brane categories

By A. Quintero Velez


In this thesis certain aspects of D-branes and their role in a deeper understanding of gauged linear sigma models and quiver gauge theories are investigated, including the relevant categories in the mathematical setup. Our applications include the development of a McKay correspondence for Landau-Ginzburg models and the construction of noncommutative resolutions of ADE fibered Calabi-Yau threefolds. A proof of the Homological Mirror Symmetry conjecture for toric Del Pezzo surfaces will be also discussed

Publisher: Utrecht University
Year: 2009
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