The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds

@article{Martelli2006TheGD,
  title={The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds},
  author={Dario Martelli and James Sparks and Shing-tung Yau},
  journal={Communications in Mathematical Physics},
  year={2006},
  volume={268},
  pages={39-65}
}
AbstractWe show that the Reeb vector, and hence in particular the volume, of a Sasaki–Einstein metric on the base of a toric Calabi–Yau cone of complex dimension n may be computed by minimising a function Z on $$\mathbb {R}^{n}$$ which depends only on the toric data that defines the singularity. In this way one can extract certain geometric information for a toric Sasaki–Einstein manifold without finding the metric explicitly. For complex dimension n  =  3 the Reeb vector and the volume… CONTINUE READING

Figures from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 183 CITATIONS

Kahler-Sasaki geometry of toric symplectic cones in action-angle coordinates

VIEW 9 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Comments on anomalies and charges of toric-quiver duals

VIEW 12 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

2005
2019

CITATION STATISTICS

  • 34 Highly Influenced Citations

  • Averaged 14 Citations per year from 2017 through 2019

  • 70% Increase in citations per year in 2019 over 2018