The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus

Details The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus

2007-02-19

arxiv.org/abs/math/0702539v3

Mathematics

Algebraic Geometry

Final version, to be published in J. Algebra

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-567190