The topic of this dissertation is the coherent-constructible correspondence (CCC). CCC is a version of homological mirror symmetry for toric varieties. It equates the derived category of coherent sheaves on a toric variety and the category of constructible sheaves on a torus whose singular support lies in the specific conical Lagrangian subset. Harder-Katzarkov conjectured that there should be a version of CCC for toric fiber bundles and they proved their conjecture for P1-bundles. In this dissertation, we will explain how one can formulate and prove the analogous theorem for toric Pn-bundles using quiver representations. We will also propose a way to formulate a version of the conjecture for arbitrary toric fiber bundles using quivers.

Creator

• Suh, Pyongwon

DOI

• https://doi.org/10.21985/n2-ea6s-6c29

Subject

• Mathematics

Language

• en

Alternate Identifier

• http://dissertations.umi.com/northwestern:15571
• etdadmin_upload_819148

Date created

• 2021-01-01

Resource type

• Dissertation

Rights statement

• In Copyright