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arXiv · 2610.28469

On the stability of displacement energy in toric manifolds

Jean-Philippe Chassé·Ipsita Datta
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Abstract

We present a quantitative exploration of the behaviour of displacement energy of Lagrangians under stabilization. In particular, we completely characterize the displacement behaviour of toric fibres in Fano 4-manifolds. Our approach relates the geometry of the moment polytope's caustic to the structure of the (bulk-deformed) superpotential and to the presence of symmetric probes.

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Jean-Philippe Chassé, Ipsita Datta. 2026-10-20. On the stability of displacement energy in toric manifolds. https://arxiv.org/abs/2610.28469

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