Equivalence of D-brane categories

A. Quintero Velez

Research output: ThesisDoctoral thesis 1 (Research UU / Graduation UU)

Abstract

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.
Original languageUndefined/Unknown
QualificationDoctor of Philosophy
Awarding Institution
  • Utrecht University
Supervisors/Advisors
  • Duistermaat, J.J., Primary supervisor
  • Stienstra, Jan, Co-supervisor
Award date2 Mar 2009
Publisher
Publication statusPublished - 2 Mar 2009

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