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Title: The A∞ deformation theory of a point and the derived categories of local Calabi-Yaus
Author: Segal, Edward Paul
ISNI:       0000 0001 3392 5307
Awarding Body: Imperial College London
Current Institution: Imperial College London
Date of Award: 2008
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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.
Supervisor: Thomas, Richard Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral