Bourgeois' contact manifolds are tight
Abstract
We prove that Bourgeois' contact structures on M × T2 determined by the supporting open books of a contact manifold (M, ) are always tight. The proof is based on a contact homology computation leveraging holomorphic foliations and Kuranishi structures.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.