Jason Ledwidge — Neckpinchhttps://neckpinch.com/authors/jason-ledwidge/New arXiv papers by Jason Ledwidge, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT The sharp Li-Yau equality on Shrinking Ricci Solitons with applicationshttps://neckpinch.com/papers/2009.06951/arxiv:2009.06951Tue, 15 Sep 2020 00:00:00 GMTJason Ledwidge — We prove that the sharp Li-Yau equality holds for the conjugate heat kernel on shrinking Ricci solitons without any curvature or volume assumptions. This quantity yields several estimates which allows us to classify four dimensional, non-compact shrinking Ricci solitons, which arise as Type I singularity models to the Ricci flow.Ricci flowRicci solitonsSingularitiesHarnack inequalitiesHeat kernel4-manifoldsBoundaries & non-compact