https://neckpinch.com/authors/pinsard-morel-lucas/New arXiv papers by Pinsard Morel Lucas, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2504.16494/arxiv:2504.16494Wed, 23 Apr 2025 00:00:00 GMTPinsard Morel Lucas — Introducing a moment map whose zero locus is the group of symplectomorphisms of the real four-dimensional torus, we exhibit a gradient flow that can be made into a strictly parabolic flow by mean of a DeTurck trick (famously known for its use in the study of the Ricci flow), showing the local existence and regularity for the solutions of this flow and hence showing that the group of symplectomorphisms of the real four-dimensional torus is locally contractible. This work follows the ideas introduced by Yann Rollin in [3], even though the moment map picture comes from different considerations.Ricci flowRicci-flat & Calabi–Yau4-manifoldsKähler geometryHarmonic maps & DeTurck trick