Journal article

### The Kapustin-Li formula revisited

Abstract:

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 matr...

### Access Document

Publisher copy:
10.1016/j.aim.2012.07.021

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Volume:
231
Issue:
3-4
Pages:
1858-1885
Publication date:
2010-04-05
DOI:
EISSN:
1090-2082
ISSN:
0001-8708
Source identifiers:
398219
Language:
English
Keywords:
Pubs id:
pubs:398219
UUID:
uuid:c9ebd6c9-34f4-422f-8eab-9401916510ca
Local pid:
pubs:398219
Deposit date:
2013-11-16