Deformations and derived categories

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.
AcronymFWOTM249
StatusFinished
Effective start/end date1/10/0130/09/05

Flemish discipline codes

  • Physical sciences
  • Mathematical sciences
  • Biological sciences
  • Chemical sciences

Keywords

  • mathematics