Biserial fractional Brauer graph algebras are tilting-discrete iff their reduced Brauer graph forms are, and tilting-discrete examples are closed under derived equivalence.
A categorical flop in dimension one
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Proves equivalence of derived category of branched double cover to matrix factorizations for fiberwise quadratic potential on line bundle with odd-degree fiber coordinate and non-split grading.
Explicit description of second Hochschild cohomology groups for bipartite Brauer graph algebras with trivial grading, plus geometric interpretations of associated deformations via surface models.
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Two-term tilting complexes of biserial fractional Brauer graph algebras
Biserial fractional Brauer graph algebras are tilting-discrete iff their reduced Brauer graph forms are, and tilting-discrete examples are closed under derived equivalence.
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Odd Kn\"orrer periodicity as a double cover
Proves equivalence of derived category of branched double cover to matrix factorizations for fiberwise quadratic potential on line bundle with odd-degree fiber coordinate and non-split grading.
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The second Hochschild cohomology and deformations of Brauer graph algebras
Explicit description of second Hochschild cohomology groups for bipartite Brauer graph algebras with trivial grading, plus geometric interpretations of associated deformations via surface models.