2013/10/31 by Myeonggi Kwon, Otto van Koert · 1 citation
Mathematics · #math.SG #math.GT
paper · pdf · doi:10.1112/blms/bdv088
published as Bull. Lond. Math. Soc. 48 (2016), no. 2, 173-241 · Corrected typos and mistakes. Added an appendix with a proof of the Morse-Bott spectral sequence for both the equivariant and non-equivariant theory, added another appendix with proofs of the invariance properties of the mean Euler characteristic
arxiv created 2015/06/24 · arxiv updated 2018/11/08
In this survey, we give an overview of Brieskorn manifolds and varieties, and their role in contact topology. We discuss open books, fillings and invariants such as contact and symplectic homology. We also present some new results involving exotic contact structures, invariants and orderability. The main tool for the required computations is a version of the Morse-Bott spectral sequence. We provide a proof for the particular version that is useful for us.