https://neckpinch.com/authors/louis-ioos/New arXiv papers by Louis Ioos, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2101.10974/arxiv:2101.10974Tue, 26 Jan 2021 00:00:00 GMTLouis Ioos — We show that a Kähler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequence of relative anticanonically balanced metrics, also called quantized Kähler-Ricci solitons. The proof uses a semiclassical estimate on the spectral gap of an equivariant Berezin transform to extend a strategy due to Donaldson, and can be seen as the quantization of a method due to Tian and Zhu, using quantized Futaki invariants as obstructions for quantized Kähler-Ricci solitons. As corollaries, we recover the uniqueness of Kähler-Ricci solitons up to automorphisms, and show how our result also applies to Kähler-Einstein Fano manifolds with general automorphism group.Ricci solitonsKähler–Ricci solitonsEinstein metricsKähler geometryStability & uniquenessEigenvalues & spectrumKähler–Einstein & K-stability