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Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory

extension of the theory to punctured holomorphic curves allowed similarly important results for contact 3-manifolds and their symplectic fillings;

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The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64

classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the;

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Holomorphic Curves and Global Questions in Contact Geometry

This book explains the foundations of holomorphic curve theory in contact geometry. By using a particular geometric problem as a starting;

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Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds

of Harvard University who delivered three lectures on Seiberg-Witten and Gromov Invariants. In addition, there were ten one-hour lectures;

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Virtual Fundamental Cycles in Symplectic Topology

The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From;

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Nevanlinna Theory

on minimum prerequisites for complex manifolds. The theory was extended to several variables by S. Kobayashi, T. Ochiai, J. Carleson, and P;

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Contact Geometry of Slant Submanifolds

This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally;

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Singular Integrals and Fourier Theory on Lipschitz Boundaries

on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier;

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Singular Integrals and Fourier Theory on Lipschitz Boundaries

on Lipschitz curves and surfaces, an area that has been developed since the 1980s. The subject of singular integrals and the related Fourier;

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Flow Lines and Algebraic Invariants in Contact Form Geometry

to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). In particular, it develops a novel;

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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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Holomorphic Foliations with Singularities

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering;

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Cambridge Studies in Advanced Mathematics

differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer;

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Hyperkahler Manifolds (2010 re-issue)

: hyperholomorphic sheaves and examples of hyperkahler manifolds; and hyperkahler structures on total spaces of holomorphic cotangent bundles. New paperback;

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Lectures on the Topology of 3-Manifolds

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Introduction to Algebraic Curves

. However, the majority of books written on the subject discuss algebraic curves and compact Riemann surfaces separately, as parts of distinct;

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Vector Bundles on Curves - New Directions

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from;

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Riemannian Geometry of Contact and Symplectic Manifolds

Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact;

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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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Minimal Surfaces from a Complex Analytic Viewpoint

in minimally convex domains of Rn, based on the Riemann-Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These;

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Minimal Surfaces from a Complex Analytic Viewpoint

in minimally convex domains of Rn, based on the Riemann-Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These;

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Introduction to 3-Manifolds

This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low;

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Metric Rigidity Theorems On Hermitian Locally Symmetric Manifolds

This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact;

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Handbook for Mirror Symmetry of Calabi-Yau and Fano Manifolds

, and Eric Zaslow. This handbook surveys recent developments in mirror symmetry. It presents papers based on selected lectures given at a;

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Hyperbolic Manifolds And Holomorphic Mappings

subsections invariant metrics and pseudo-distances and hyperbolic complex manifolds within the section holomorphic mappings . The invariant distance;

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Hyperbolic Manifolds And Holomorphic Mappings

subsections invariant metrics and pseudo-distances and hyperbolic complex manifolds within the section holomorphic mappings . The invariant distance;

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