59 citations · 224 across the 22 of their papers we have counts for
5 papers · 1 filter
Constructing -categories of matrix factorisations
Daniel Murfet
We study constructive -models of the DG-category of matrix factorisations of a potential over a commutative -algebra , consisting of a Hom-finite $A_\infty…
Adjunctions and defects in Landau-Ginzburg models
Nils Carqueville, Daniel Murfet
We study the bicategory of Landau-Ginzburg models, which has potentials as objects and matrix factorisations as 1-morphisms. Our main result is the existence of adjoints in this bi…
Pushing forward matrix factorisations
Tobias Dyckerhoff, Daniel Murfet
We describe the pushforward of a matrix factorisation along a ring morphism in terms of an idempotent defined using relative Atiyah classes, and use this construction to study the…
The Kapustin-Li formula revisited
Tobias Dyckerhoff, Daniel Murfet
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 singulari…
Totally acyclic complexes over noetherian schemes
Daniel Murfet, Shokrollah Salarian
We define a notion of total acyclicity for complexes of flat quasi-coherent sheaves over a semi-separated noetherian scheme, generalising complete flat resolutions over a ring. By…