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Additive categorification of the monoidal $\Lambda$-invariant

math.RT · 2026-05-05 · unverdicted · novelty 6.0

The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.

Extremal Matchings and Height Functions

math.CO · 2026-06-09 · unverdicted · novelty 5.0

Extends Muller-Speyer by constructing extremal matchings via height functions on almost perfect matchings of plabic graphs and proving coverage of all boundary conditions.

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  • Additive categorification of the monoidal $\Lambda$-invariant math.RT · 2026-05-05 · unverdicted · none · ref 134

    The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.