Personal tools
You are here: Home Publications The Kapustin-Li formula revisited

The Kapustin-Li formula revisited

Tobias Dyckerhoff, Daniel Murfet

Number 18
Author Daniel Murfet
Project C03
Year 2010

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.

More information about this publication…

Document Actions
August 2017 »
August
MoTuWeThFrSaSu
123456
78910111213
14151617181920
21222324252627
28293031