Bourgain’s slicing problem and KLS isoperimetry up to polylog

• Published in: Geometric and functional analysis Vol. 32; no. 5; pp. 1134 - 1159
• Main Authors: Klartag, Bo’az, Lehec, Joseph
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.10.2022; Springer Nature B.V
• Subjects: Analysis; Hyperplanes; Mathematics; Mathematics and Statistics

We prove that Bourgain’s hyperplane conjecture and the Kannan-Lovász-Simonovits (KLS) isoperimetric conjecture hold true up to a factor that is polylogarithmic in the dimension.