Skew-group A_∞-categories are defined to represent Fukaya categories of orbifolds, with indecomposable objects classified as graded curves with taggings and tilting objects yielding derived equivalences to skew-gentle algebras.
A complete derived invariant and silting theory for graded gentle algebras
3 Pith papers cite this work. Polarity classification is still indexing.
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Necessary and sufficient conditions for complements to presilting objects in triangulated categories are established via co-t-structures, plus an equivalence characterizing silting-discrete algebras.
citing papers explorer
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Skew-group $A_{\infty}$-categories as Fukaya categories of orbifolds
Skew-group A_∞-categories are defined to represent Fukaya categories of orbifolds, with indecomposable objects classified as graded curves with taggings and tilting objects yielding derived equivalences to skew-gentle algebras.
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Fishing for complements
Necessary and sufficient conditions for complements to presilting objects in triangulated categories are established via co-t-structures, plus an equivalence characterizing silting-discrete algebras.
- Invariants of derived equivalences for admissible fractional Brauer graph algebras