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Lectures on Kähler Manifolds

https://doi.org/10.4171/025
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Preliminaries on (Almost-)Complex Manifolds
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New G2-invariant supersymmetric AdS4 vacua in 11d supergravity and holography
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The dimensional reduction and Kähler metric of forms in flux and warping
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The Second Dirac Eigenvalue of a Nearly Parallel G2-Manifold
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Improbability of Wandering Orbits Passing Through a Sequence of Poincaré Surfaces of Decreasing Size
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Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds
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Mirror Symmetry and Other Miracles in Superstring Theory
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Stability of ALE Ricci-Flat Manifolds Under Ricci Flow
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Eigenvalue Estimates on Quaternion-Kähler Manifolds
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Killing Fields on Compact Pseudo-Kähler Manifolds
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One-dimensional exponential families with constant Hessian sectional curvature
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Unitarising measures for the representations of affine group and associated invariant operators
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Vortices and Jacobian varieties
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Complex and Lagrangian surfaces of the complex projective plane via Kählerian Killing Spin c spinors
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Hamiltonian systems on almost cosymplectic manifolds
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Harmonic band theory: rigidity of non-zero degree harmonic maps from 2-torus to complex projective space
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Bourgain–Brezis inequalities on symmetric spaces of non-compact type
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A philosopher looks at string dualities
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A general perspective on time observables
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Spectral Construction of Non-Holomorphic Eisenstein-Type Series and their Kronecker Limit Formula
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Cyclic parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians
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Geometry of Covariance Matrices and Computation of Median
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Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds
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Hidden symmetries on Kerr-NUT-(A)dS metrics of Einstein-Sasaki type
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The Bigraded Rumin Complex via Differential Forms
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Contact hypersurfaces in Kähler manifolds
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Kähler hyperbolic manifolds and Chern number inequalities
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Perelman’s entropies for manifolds with conical singularities
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Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds
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Compact monotone tall complexity one 𝑇-spaces
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Unsupervised learning of topological phase diagram using topological data analysis
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Convex surfaces with prescribed induced metrics in anti‐de Sitter spacetimes
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The global sections of chiral de Rham complexes on closed complex curves
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On the properties of real quantum mechanics in Kähler Space
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From Kähler Hyperbolicity to Balanced Hyperbolicity
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Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System
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Bergman kernel on Riemann surfaces and Kähler metric on symmetric products
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Vassiliev invariants from symmetric spaces
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Real hypersurfaces with isometric Reeb flow in Kähler manifolds
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Weyl–Euler–Lagrange equations on twistor space for tangent structure
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An Entropy for Groups of Intermediate Growth
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Spectral properties of reducible conical metrics
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S. Kondo: “K3 Surfaces”
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Kähler-Einstein metrics: Old and New
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Weakly Kähler hyperbolic manifolds and the Green–Griffiths–Lang conjecture
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An Aubin continuity path for shrinking gradient Kähler–Ricci solitons
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HAMILTON EQUATION ON ALMOST PSEUDO KÄHLER-WEYL MANIFOLDS FOR MECHANICAL SYSTEMS
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Euler-Lagrange equations for holomorphic structures on twistorial generalized Kähler manifolds
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Rigidity Theorems for K\"Ahler Manifold with Curvature Bounded Below
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Exact Classicalization of $N$-Level Systems Interacting with a Bath: Theory and Applications
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Unimodular measures on the space of all Riemannian manifolds
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Classification results for expanding and shrinking gradient Kähler–Ricci solitons
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The Kähler geometry of certain optimal transport problems
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Aspects of Differential Geometry V
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Degenerations of Kahler-Einstein Fano Manifolds
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Convergence of the Yamabe flow on singular spaces with positive Yamabe constant
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On the Geometry of the Kähler Golden Manifold
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On SU(2) Anomaly and Majorana Fermions
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A Field-Theoretical Approach to the P vs. NP Problem via the Phase Sign of Quantum Monte Carlo
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The Dirac-Dolbeault Operator Approach to the Hodge Conjecture
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Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
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The geometry of $\mathbb {C}^2$ equipped with Warren’s metric
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Riemannian and Kählerian normal coordinates
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Applying Hodge theory to detect Hamiltonian flows
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Distinguished Line Bundles for Complex Surface Automorphisms
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Spinorial Characterization of CR Structures, I
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Cohomological aspects of non-Kähler manifolds
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Compact K$ä$hler manifolds homotopic to negatively curved Riemannian manifolds
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The Calabi Conjecture
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An entropy for groups of intermediate growth
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Computing Entanglement Polytopes
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Perelman's Entropies for Manifolds with conical Singularities
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One-dimensional exponential families with constant Hessian scalar curvature
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Bergman kernel on Riemann surfaces and Kaehler metric on symmetric products
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Holomorphic Euler number of K$\ddot{a}$hler manifolds with almost nonnegative Ricci curvature
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Grothendieck meeting [Wess & Bagger]: [Supersymmetry and supergravity: IV, V, VI, VII, XXII] (2nd ed.) reconstructed in complexified ${\Bbb Z}/2$-graded $C^\infty$-Algebraic Geometry, I. Construction under trivialization of spinor bundle
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Estimate of number of simplices of triangulations of Lie groups
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Geometric quantization and quantum moment maps on coadjoint orbits and Kähler-Einstein manifolds
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Virtual Morse-Bott index, moduli spaces of pairs, and applications to topology of smooth four-manifolds
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Geodesics on the extended Siegel-Jacobi upper half-plane
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The universal structure of moment maps in complex geometry
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Mabuchi Geometry of the Spaces of Kähler and Sasaki Potentials
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Autour du programme de Calabi, méthodes de recollement
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Generalized Seiberg-Witten Equations on a Riemann Surface
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