Strata of genus-one differentials with >=4 zeros or poles are not orbifold K(π,1), giving counterexamples to Kontsevich and Bridgeland stability conjectures.
Perverse schobers, stability conditions and quadratic differentials I.arXiv:2303.18249
2 Pith papers cite this work. Polarity classification is still indexing.
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Constructs categorical Lusztig cycles and duals as simple-minded and silting collections in global sections of sheaves from weaves, showing they tilt under mutations.
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Non-asphericity of strata of genus-one differentials and stability spaces
Strata of genus-one differentials with >=4 zeros or poles are not orbifold K(π,1), giving counterexamples to Kontsevich and Bridgeland stability conjectures.
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Categorical Lusztig cycles and weave schobers
Constructs categorical Lusztig cycles and duals as simple-minded and silting collections in global sections of sheaves from weaves, showing they tilt under mutations.