Matrix factorizations for quantum complete intersections
Petter Andreas Bergh, Karin Erdmann
TL;DR
This paper introduces twisted matrix factorizations for quantum complete intersections of codimension two, showing that most indecomposable modules with bounded projective resolutions correspond to these factorizations.
Contribution
It is the first to connect twisted matrix factorizations with quantum complete intersections, providing a new framework for understanding their module categories.
Findings
Most indecomposable modules with bounded minimal projective resolutions correspond to twisted matrix factorizations.
The approach applies specifically to quantum complete intersections of codimension two.
The work advances the classification of modules over these algebras.
Abstract
We introduce twisted matrix factorizations for quantum complete intersections of codimension two. For such an algebra, we show that in a given dimension, almost all the indecomposable modules with bounded minimal projective resolutions correspond to such matrix factorizations.
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