167 citations · 672 across the 49 of their papers we have counts for
4 papers · 1 filter
Brieskorn Manifolds, Positive Sasakian Geometry, and Contact Topology
Charles P. Boyer, Leonardo Macarini, Otto van Koert
Using -equivariant symplectic homology, in particular its mean Euler characteristic, of the natural filling of links of Brieskorn-Pham polynomials, we prove the existence of i…
The Einstein-Hilbert functional and the Sasaki-Futaki invariant
Charles P. Boyer, Hongnian Huang, Eveline Legendre +1
We show that the Einstein-Hilbert functional, as a functional on the space of Reeb vector fields, detects the vanishing Sasaki-Futaki invariant. In particular, this provides an obs…
On the Topology of some Sasaki-Einstein Manifolds
Charles P. Boyer, Christina W. Tønnesen-Friedman
This is a sequel to our paper arXiv:1402.2546 to appear in the Journal of Geometric Analysis in which we concentrate on developing some of the topological properties of Sasaki-Eins…
The Sasaki Join and Admissible Kähler Constructions
Charles P. Boyer, Christina W. Tønnesen-Friedman
We give a survey of our recent work describing a method which combines the Sasaki join construction with the admissible Kähler construction of to obtain new extremal and new consta…