Equivalence of D-brane categories

A. Quintero Velez

Equivalence of D-brane categories

A. Quintero Velez

Research output: Thesis › Doctoral 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 language	Undefined/Unknown
Qualification	Doctor of Philosophy
Awarding Institution	Utrecht University
Supervisors/Advisors	Duistermaat, J.J., Primary supervisor Stienstra, Jan, Co-supervisor
Award date	2 Mar 2009
Publisher	Utrecht University
Publication status	Published - 2 Mar 2009

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Quinterovelez
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Final published version, 612 KB
Quinterovelez
Open Access (free)
Final published version, 25.2 KB

Cite this

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year = "2009",

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type = "Doctoral thesis 1 (Research UU / Graduation UU)",

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AU - Quintero Velez, A.

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N2 - 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.

AB - 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.

M3 - Doctoral thesis 1 (Research UU / Graduation UU)

PB - Utrecht University

ER -