Project Details
Description
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.
Acronym | FWOTM249 |
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Status | Finished |
Effective start/end date | 1/10/01 → 30/09/05 |
Flemish discipline codes
- Physical sciences
- Mathematical sciences
- Biological sciences
- Chemical sciences
Keywords
- mathematics