The Kapustin-Li formula revisited

Details The Kapustin-Li formula revisited The Kapustin-Li formula revisited

2010-04-05

arxiv.org/abs/1004.0687v1

Mathematics

Algebraic Geometry

28 pages, 3 figures, comments welcome

Scientific paper

We provide a new perspective on the Kapustin-Li formula for the duality pairing on the morphism complexes in the matrix factorization category of an isolated hypersurface singularity. In our context, the formula arises as an explicit description of a local duality isomorphism, obtained by using the basic perturbation lemma and Grothendieck residues. The non-degeneracy of the pairing becomes apparent in this setting. Further, we show that the pairing lifts to a Calabi-Yau structure on the matrix factorization category. This allows us to define topological quantum field theories with matrix factorizations as boundary conditions.

Affiliated with

Also associated with

No associations

Rating

The Kapustin-Li formula revisited 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 Kapustin-Li formula revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Kapustin-Li formula revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-637651