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We present explicit constructions of complete Ricci-flat Kahler metrics that are asymptotic to cones over non-regular Sasaki-Einstein manifolds.
S. Kobayashi, “Topology of positively pinched Kähler manifold,” T o ^ \hat{\mathrm{o}} hoku Math. J. 15
1963
Earlier work this paper cites.
D. N. Page, “A Compact Rotating Gravitational Instanton,” Phys. Lett. B 79
1978
Earlier work this paper cites.
E. Calabi, “Métriques Kählériennes et fibrés holomorphes,” Ann. Sci. Ecole Norm. Sup. (4) 12
1979
Earlier work this paper cites.
L. Bérard-Bergery, “Sur de nouvelles variétés riemanniennes d’Einstein,” Institut Elie Cartan 6
1982
Earlier work this paper cites.
D. N. Page and C. N. Pope, “Inhomogeneous Einstein Metrics On Complex Line Bundles,” Class. Quant. Grav. 4
1987
Earlier work this paper cites.
P. Candelas and X. C. de la Ossa, “Comments on Conifolds,” Nucl. Phys. B 342
1990
Earlier work this paper cites.
G. Tian and S.-T. Yau, “Complete Kähler manifolds with zero Ricci curvature I,” J. Am. Math. Soc. 3
1990
Earlier work this paper cites.
G. Tian and S.-T. Yau, “Complete Kähler manifolds with zero Ricci curvature II,” Invent. Math. 106
1991
Earlier work this paper cites.
J. Kollár, “Rational Curves on Algebraic Varieties,” Springer-Verlag. Ergebnisse der Math. vol 32
1996
Cited alongside, same era.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Cited alongside, same era.
L. A. Pando Zayas and A. A. Tseytlin, “3-branes on spaces with ℝ × S 2 × S 3 \mathbb{R}\times S^{2}\times S^{3} topology,” Phys. Rev. D 63
2001
Cited alongside, same era.
M. Cvetic, G. W. Gibbons, H. Lu and C. N. Pope, “Ricci-flat metrics, harmonic forms and brane resolutions,” Commun. Math. Phys. 232
2003
Cited alongside, same era.
J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, “Supersymmetric AdS 5 solutions of M-theory,” Class. Quant. Grav. 21
2004
Cited alongside, same era.
W. Chen, H. Lu, C. N. Pope and J. F. Vazquez-Poritz, “A note on Einstein-Sasaki metrics in D ≥ 7 D\geq 7 ,” Class. Quant. Grav. 22
2005
Later among the works it cites.
C.P. Boyer, K. Galicki and J. Kollár, “Einstein Metrics on Spheres,” Annals of Mathematics 162
2005
Later among the works it cites.
T. Oota and Y. Yasui, “Explicit toric metric on resolved Calabi-Yau cone,” Phys. Lett. B 639
2006
Later among the works it cites.
V. Apostolov, D. M. J. Calderbank and P. Gauduchon, “Hamiltonian 2-forms in Kähler geometry, I General Theory,” J. Diff. Geom. 73
2006
Later among the works it cites.
D. Martelli and J. Sparks, “Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals,” Commun. Math. Phys. 262
2006
Later among the works it cites.
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J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, “Sasaki-Einstein metrics on S 2 × S 3 S^{2}\times S^{3} ,” Adv. Theor. Math. Phys. 8
2004
Cited alongside, same era.
J. P. Gauntlett, D. Martelli, J. F. Sparks and D. Waldram, “A new infinite class of Sasaki-Einstein manifolds,” Adv. Theor. Math. Phys. 8
2004
Cited alongside, same era.
V. Apostolov, D. M. J. Calderbank, P. Gauduchon, and C. Tønnesen-Friedman, “Hamiltonian 2-forms in Kähler geometry, II Global Classification,” J. Diff. Geom. 68
2004
Cited alongside, same era.
A. Futaki, “Complete Ricci-flat Kähler metrics on the canonical bundles of toric Fano manifolds,” arXiv:math/0703138
Cited in the paper.
A. Futaki, H. Ono and G. Wang, “Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds,” arXiv:math.DG/0607586
Cited in the paper.
V. Apostolov, D. M. J. Calderbank, P. Gauduchon, and C. Tønnesen-Friedman, “Hamiltonian 2-forms in Kähler geometry, III Extremal metrics and Stability,” arXiv:math.DG/0511118
Cited in the paper.
Cited in the paper.
H. Lu and C. N. Pope, “Resolutions of cones over Einstein-Sasaki spaces,” Nucl. Phys. B 782
2007
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W. Chen, H. Lu and C. N. Pope, “Kerr-de Sitter black holes with NUT charges,” Nucl. Phys. B 762
2007
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