Calabi-Yau categories and quivers with superpotential

Thesis

This thesis studies derived equivalences between total spaces of vector bundles and dg-quivers.

A dg-quiver is a graded quiver whose path algebra is a dg-algebra. A quiver with superpotential is a dg-quiver whose differential is determined by a "function" Φ. It is known that the bounded derived category of representations of quivers with superpotential with finite dimensional cohomology is a Calabi- Yau triangulated category. Hence quivers with superpotential can be viewed as noncom...

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Authors: Lam, YT

• Publication date: 2014
• DOI: 10.5287/ora-qxvgkrr2a
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: Quivers with Superpotential; Calabi-Yau Categories; Tilting; McKay Quivers; Koszul Functor; Derived Equivalences
• Subjects: Representation Theory; Geometry; Algebraic geometry