作者
Tobias Dyckerhoff, Daniel Murfet
发表日期
2012/10/1
期刊
Advances in Mathematics
卷号
231
期号
3-4
页码范围
1858-1885
出版商
Academic Press
简介
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.
学术搜索中的文章
T Dyckerhoff, D Murfet - Advances in Mathematics, 2012