The algebraic torus fibration conjecture

From papers

Let XYX\to Y be an algebraic torus fibration, with discriminant divisor DYD\subset Y, and let WT(X)1\mathcal{W}_{T}(X)_{-\mathbf{1}} denote the spectral component of its equivariant wrapped Fukaya category at 1-\mathbf{1}. Algebraic torus fibration conjecture. There is a quasi-equivalence

WT(X)1W(YD).\mathcal{W}_{T}(X)_{-\mathbf{1}}\simeq\mathcal{W}(Y\setminus D).

This extends the expected description of equivariant Fukaya categories at singular values from rank-one torus fibrations to higher-rank algebraic torus fibrations.

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Sources & referencesView supporting material

Primary source

Yanki Lekili and Ed Segal, “Equivariant Fukaya categories at singular values”, arXiv:2304.10969 (2023).

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