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A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds. The heart of the book is devoted;

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A Brief Introduction to Berezin Toeplitz Operators on Compact Kaehler Manifolds

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds. The heart of the book is devoted;

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The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99

. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct;

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Cohomological Aspects in Complex Non-Kahler Geometry

properties for compact Kahler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds;

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Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds

developments in an area where research is still very active and promising. With a chapter on compact hyper-Kahler manifolds, the book includes a;

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Lectures On Kahler Geometry

differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kahler manifolds are discussed from the;

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Lectures On Kahler Geometry

differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kahler manifolds are discussed from the;

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Complex Non-Kähler Geometry: Cetraro, Italy 2018

complex surfaces and compact Kahler manifolds, respectively. The courses by Sebastien Picard and Slawomir Dinew focused on analytic techniques;

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Metric Rigidity Theorems On Hermitian Locally Symmetric Manifolds

manifolds X of the same type. Moreover, a dual version of the generalized Frankel Conjecture on characterizing compact Kahler manifolds are also;

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44

introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac;

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Toeplitz Matrices and Operators

The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal;

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Fundamental Groups of Compact Kahler Manifolds

This book is an exposition of what is currently known about the fundamental groups of compact Kahler manifolds. This class of groups;

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Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 2

complex geometry, to the geometry of compact and non-compact Kahler manifolds. Among the authors and topics are: Raoul Bott on a residue formula;

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Kaehler Immersions of Kaehler Manifolds into Complex Space Forms

forms admitting a Kahler immersion into another, and to decades of further research on the subject. Each chapter begins with a brief;

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Calabi-Yau Manifolds and Related Geometries

This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate;

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Toeplitz Operators and Related Topics

This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and;

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Nonlinear Analysis on Manifolds

is organized into nine chapters. Chapter 1 offers a brief introduction to differential and Riemannian geometry. Chapter 2 deals with the general theory;

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Large Truncated Toeplitz Matrices Toeplitz Operators and Related Topics

past. The book also includes a biographical essay, a complete bibliography of Albrecht Boettcher's work and brief informal notes on personal;

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Heat Kernels and Dirac Operators

In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and;

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Operator Algebras, Toeplitz Operators and Related Topics

This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete;

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Analysis of Pseudo-Differential Operators

-differential operators on a spectrum of settings from Z to Rn to compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with;

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Differential Operators on Manifolds

Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds.- R. Bott: Some aspects of invariant theory;

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Advances in Complex Geometry

Geometry Seminar. It begins with a survey article on recent developments in pluripotential theory and its applications to Kahler-Einstein metrics;

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Introduction to Linear Operator Theory

This book is an introduction to the subject and is devoted to standard material on linear functional analysis, and presents some ergodic;

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Elliptic PDEs on Compact Ricci Limit Spaces and Applications

In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature;

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Spectral Theory

and recent literature. Beginning with a brief introduction to functional analysis, the text focuses on unbounded operators and;

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Smooth Manifolds and Observables

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors;

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