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math.AC2014
The cut operation on matrix factorisations
Daniel Murfet
The bicategory of Landau-Ginzburg models has polynomials as objects and matrix factorisations as -morphisms. The composition of these -morphisms produces infin…
math.AC2009★ 10 cited
Residues and duality for singularity categories of isolated Gorenstein singularities
Daniel Murfet
We study Serre duality in the singularity category of an isolated Gorenstein singularity and find an explicit formula for the duality pairing in terms of generalised fractions and…
math.AC2008★ 44 cited
On two examples by Iyama and Yoshino
Bernhard Keller, Daniel Murfet, Michel Van den Bergh
In the recent paper "Mutation in triangulated categories and rigid Cohen-Macaulay modules" Iyama and Yoshino consider two interesting examples of isolated singularities over which…