Geometry in mathematical physics and related topics : proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, Los Angeles, California, July 8-28, 1990 / Robert Greene, S.T. Yau, editors.

Format:

Book

Conference/Event

Contributor:

Greene, Robert Everist, 1943- editor.

Yau, Shing-Tung, 1949- editor.

Conference Name:

Summer Research Institute on Differential Geometry (1990 : University of California, Los Angeles), issuing body.

Series:

Proceedings of symposia in pure mathematics ; volume 54, part 2.

Differential geometry ; pt. 2.

Proceedings of symposia in pure mathematics ; volume 54, part 2

Differential geometry ; part 2

Language:

English

Subjects (All):

Complex manifolds--Congresses.

Complex manifolds.

Mathematical physics--Congresses.

Mathematical physics.

Physical Description:

1 online resource (681 p.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1993]

Language Note:

English

Summary:

The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge

Contents:

""Contents""; ""Part 2""; ""Invariants of Gauss Maps of Theta Divisors""; ""On Characteristics of Hypersurfaces in Symplectic Manifolds""; ""Disprisoning and Pseudoconvex Manifolds""; ""On the Holonomy of Lorentzian Manifolds""; ""Spinors, Dirac Operators, and Changes of Metrics""; ""The Hyperkahler Geometry of the ADHM Construction and Quaternionic Geometric Invariant Theory""; ""Non-Abelian Vortices and a New Yang-Mills-Higgs Energy""; ""What Are the Best Almost-Complex Structures on the 6-Sphere?""; ""The Failure of Complex and Symplectic Manifolds to be Kahlerian""

""Nonabelian Hodge Theory*""""Geometric Invariants and Their Adiabatic Limits""; ""Geometry of Elementary Particles""; ""Existence of Connections with Prescribed Yang-Mills Currents""; ""Vector Bundles over Homogeneous Spaces and Complete, Locally Symmetric Spaces""; ""Margulis Space-Times""; ""Incomplete Flat Homogeneous Geometries""; ""Geodesic and Causal Behavior of Gravitational Plane Waves: Astigmatic Conjugacy""; ""Curvature of Singular Spaces via the Normal Cycle""; ""The Nonintegrable Phase Factor and Gauge Theory""

""The Lorentzian Version of the Cheeger-Gromoll Splitting Theorem and its Application to General Relativity""""Weyl Structures on Self-Dual Conformal Manifolds""; ""Chiral Anomalies and Dirac Families in Riemannian Foliations""; ""What is the Shape of Space in a Spacetime?""; ""The Kinematics of the Gravitational Field""; ""Support Theorems in Integral Geometry and Their Applications""; ""Killing Spinors and Eigenvalues of the Dirac Operator""; ""Einstein Metrics on Circle Bundles""; ""Topological and Differentiable Structures of the Complement of an Arrangement of Hyperplanes""

""The Relationship between the Moduli Spaces of Vector Bundles on K3 Surfaces and Enriques Surfaces""""Self-Dual Manifolds with Symmetry""; ""Remarks on the Skyrme Model""; ""Geometric Settings for Quantum Systems with Isospin""; ""Heat Kernels on Covering Spaces and Topological Invariants""; ""The Heat Kernels of Symmetric Spaces""; ""CR-Geometry and Deformations of Isolated Singularities*""; ""Generalized Symplectic Geometry on the Frame Bundle of a Manifold""; ""Complex Geometry and String Theory*""; ""Constructing Non-Self-Dual Yang-Mills Connections on S4 with Arbitrary Chern Number""

""L[sup(p)]-Cohomology: Banach Spaces and Homological Methods on Riemannian Manifolds*""

Notes:

"Proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 8-28, 1990"--T.p. verso.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-9353-X