Brieskorn manifolds in contact topology

By Myeonggi Kwon, Otto van Koert. 2013

102 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/531f9450d3413bf6fe8e1cef12ca52ddbc68783a

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In Discrete Mathematics and Combinatorics

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Reeb orbits and the minimal discrepancy of an isolated singularity (2014, methodology): “In particular using indices of Reeb orbits, [Kwo13][Theorem 6.”
The positive equivariant symplectic homology as an invariant for some contact manifolds (2015, background): “A more complete description of Brieskorn manifolds and computations of the symplectic homologies can be found in the paper by Kwon and van Koert [20].”
Symplectic homology and the Eilenberg-Steenrod axioms (2015, background): “(2) For a Liouville domain W , it is proved in [18] that SH (1),>0 ∗ (W ) is isomorphic over Q to linearized contact homology of ∂W whenever the latter is defined, see also [48, 49, 57] for applications.”