References of Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces
Bibliography edges; mathematical prerequisites and exact-result citation alignment unverified.
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Chapter 25: Convergence and rigidity of manifolds under Ricci curvature bounds
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Chapter 27: Lower bounds on Ricci curvature and the almost rigidity of warped products
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Chapter 28: On the structure of spaces with Ricci curvature bounded below. I
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Chapter 29: Gravitational instantons with faster than quadratic curvature decay (II)
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Chapter 30: Gravitational instantons with faster than quadratic curvature decay (III)
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Chapter 31: On the singularities of spaces with bounded Ricci curvature
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Chapter 32: Volume estimates for Kahler-Einstein metrics and rigidity of complex structures
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Chapter 33: Nilpotent structures and invariant metrics on collapsed manifolds
- [CG86] Jeff Cheeger and Mikhael Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded. I, J. Differential Geom. 23 (1986), no. 3, 309–346.
Chapter 34: Collapsing Riemannian manifolds while keeping their curvature bound I
- [CG90] , Collapsing Riemannian manifolds while keeping their curvature bounded. II, J. Differential Geom. 32 (1990), no. 1, 269–298.
Chapter 35: Collapsing Riemannian Manifolds while keeping their curvature bounded II
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Chapter 36: The splitting theorem for manifolds of nonnegative Ricci curvature
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Chapter 38: Asymptotically conical Calabi-Yau metrics on quasi-projective varieties
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Chapter 39: Integral bounds on curvature elliptic estimates and rectifiability of singular sets
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Chapter 40: Lower bounds on Ricci curvature and quantitative behavior of singular sets
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Chapter 178: Regularity of Einstein Manifolds and the Codimension 4 Conjecture
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Chapter 41: Anti-self-duality of curvature and degeneration of metrics with special holonomy
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Chapter 42: Curvature and injectivity radius estimates for Einstein 4-manifolds
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Chapter 43: Differential equations on Riemannian manifolds and their geometric applications
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Chapter 44: Two-forms on four-manifolds and elliptic equations
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Chapter 45: Calabi-Yau metrics on Kummer surfaces as a model gluing problem
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Chapter 47: Complete non-compact G2-manifolds from asymptotically conical Calabi-Yau 3-folds
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Chapter 49: The space of hyperkahler metrics on a 4-manifold with boundary
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Chapter 192: ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surface
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Chapter 50: Collapsing Riemannian manifolds to ones of lower dimensions
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Chapter 51: A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters
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Chapter 52: The fundamental groups of almost non-negatively curved manifolds
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Chapter 54: Stringy cosmic strings and noncompact Calabi-Yau manifolds
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Chapter 55: The spectrum of the Laplacian on Riemannian Heisenberg manifolds
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Chapter 56: Gravitational instantons from rational elliptic surfaces
- [HSVZ] Hans-Joachim Hein, Song Sun, Jeff Viaclovsky, and Ruobing Zhang, Type II degeneration of Ricci-flat metrics on K3 surfaces, in preparation.
Chapter 57: Type II degeneration of Ricci-flat metrics on K3 surfaces
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Chapter 58: Massive string theories from M-theory and F-theory
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Chapter 59: On asymptotics of complete Ricci-flat Kahler metrics on open manifolds
- [Kob90] Ryoichi Kobayashi, Ricci-flat Kahler metrics on affine algebraic manifolds and degenerations of Kahler-Einstein K3 surfaces, Kahler metric and moduli spaces, Adv. Stud. Pure Math., vol. 18, Academic Press, Boston, MA, 1990, pp. 137–228. \MR1145249
- [Kov03] Alexei Kovalev, Twisted connected sums and special Riemannian holonomy, J. Reine Angew. Math. 565 (2003), 125–160. \MR2024648
Chapter 61: Twisted connected sums and special Riemannian holonomy
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Chapter 62: The construction of ALE spaces as hyper-Kahler quotients
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Chapter 63: Gluing theorems for complete anti-self-dual spaces
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Chapter 65: Complete Ricci-flat Kahler metrics on C n need not be flat
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Chapter 66: The collapsing geometry of almost Ricci-flat 4-manifolds
- [LS94] Claude LeBrun and Michael Singer, A Kummer-type construction of self-dual 4-manifolds, Math. Ann. 300 (1994), no. 1, 165–180.
Chapter 67: A Kummer-type construction of self-dual 4-manifolds
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Chapter 68: Symmetric Green's functions on complete manifolds
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Chapter 70: Empty-space generalization of the Schwarzschild metric
- [NZ16] Aaron Naber and Ruobing Zhang, Topology and \varepsilon-regularity theorems on collapsed manifolds with Ricci curvature bounds, Geom. Topol. 20 (2016), no. 5, 2575–2664.
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- [Ron07] Xiaochun Rong, Collapsed manifolds with bounded sectional curvature and applications, Surveys in differential geometry. Vol. XI, Surv. Differ. Geom., vol. 11, Int. Press, Somerville, MA, 2007, pp. 1–23.
Chapter 73: Collapsed manifolds with bounded sectional curvature and applications
- [RS05] Yann Rollin and Michael Singer, Non-minimal scalar-flat Kahler surfaces and parabolic stability, Invent. Math. 162 (2005), no. 2, 235–270.
Chapter 74: Non-minimal scalar-flat Kahler surfaces and parabolic stability
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Chapter 76: A comprehensive introduction to differential geometry. Vol. I
- [SS16] Jingzhou Sun and Song Sun, Projective embedding of log riemann surfaces and k-stability, arXiv.org: 1605.01089, 2016.
Chapter 77: Projective embedding of log riemann surfaces and k-stability
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Chapter 78: Empty space-times admitting a three parameter group of motions
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Chapter 79: On Calabi's conjecture for complex surfaces with positive first Chern class
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Chapter 80: Complete Kahler manifolds with zero Ricci curvature. I
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