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The A∞ Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus
File | Description | Size | Format | |
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Segal-EP-2008-PhD-Thesis.pdf | 299.27 kB | Adobe PDF | View/Open |
Title: | The A∞ Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus |
Authors: | Segal, Edward Paul |
Item Type: | Thesis or dissertation |
Abstract: | Let A be an augmented algebra over a semi-simple algebra S. We show that the Ext algebra of S as an A-module, enriched with its natural A-infinity structure, can be used to reconstruct the completion of A at the augmentation ideal. We use this technical result to justify a calculation in the physics literature describing algebras that are derived equivalent to certain non-compact Calabi-Yau three-folds. Since the calculation produces superpotentials for these algebras we also include some discussion of superpotential algebras and their invariants. |
Issue Date: | 2008 |
Date Awarded: | Jul-2008 |
URI: | http://hdl.handle.net/10044/1/1371 |
DOI: | https://doi.org/10.25560/1371 |
Supervisor: | Thomas, Richard |
Author: | Segal, Edward Paul |
Department: | Mathematics |
Publisher: | Imperial College London |
Qualification Level: | Doctoral |
Qualification Name: | Doctor of Philosophy (PhD) |
Appears in Collections: | Mathematics PhD theses |