Geometry in mathematical physics and related topics / [electronic resource] Robert Greene, S.T. Yau, editors.

Contributor(s): Greene, Robert Everist, 1943- | Yau, Shing-Tung, 1949- | Summer Research Institute on Differential Geometry (1990 : University of California, Los Angeles)Material type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 54.2Publication details: Providence, R.I. : American Mathematical Society, c1993Description: 1 online resource (xxii, 655 p. : ill.)ISBN: 9780821893531 (online)Subject(s): Complex manifolds -- Congresses | Mathematical physics -- CongressesAdditional physical formats: Geometry in mathematical physics and related topics /DDC classification: 516.3/6 s | 515/.9 LOC classification: QA641 | .D3833 1993 pt. 2 | QA331.7Online resources: Contents | Contents
Contents:
Invariants of Gauss maps of theta divisors / Malcolm Adams, Clint McCrory, Ted Shifrin and Robert Varley -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216524 On characteristics of hypersurfaces in symplectic manifolds / Augustin Banyaga -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216525 Disprisoning and pseudoconvex manifolds / John K. Beem -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216526 On the holonomy of Lorentzian manifolds / L. B�erard-Bergery and A. Ikemakhen -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216527 Spinors, Dirac operators, and changes of metrics / Jean-Pierre Bourguignon -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216528 The hyper-K�ahler geometry of the ADHM construction and quaternionic geometric invariant theory / Charles P. Boyer and Benjamin M. Mann -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216529 Nonabelian vortices and a new Yang-Mills-Higgs energy / Steven B. Bradlow -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216530 What are the best almost-complex structures on the 6-sphere? / Eugenio Calabi and Herman Gluck -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216531 The failure of complex and symplectic manifolds to be K�ahlerian / Luis A. Cordero, Marisa Fern�andez and Alfred Gray -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216532 Nonabelian Hodge theory / Kevin Corlette -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216533 Geometric invariants and their adiabatic limits / Xianzhe Dai -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216534 Geometry of elementary particles / Andrzej Derdzi�nski -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216535 Existence of connections with prescribed Yang-Mills currents / Dennis DeTurck, Hubert Goldschmidt and Janet Talvacchia -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216536 Vector bundles over homogeneous spaces and complete, locally symmetric spaces / Lance D. Drager and Robert L. Foote -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216537 Margulis space-times / Todd A. Drumm -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216538 Incomplete flat homogeneous geometries / D. Duncan and E. Ihrig -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216539 Geodesic and causal behavior of gravitational plane waves: astigmatic conjugacy / Paul E. Ehrlich and G�erard G. Emch -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216540 Curvature of singular spaces via the normal cycle / Joseph H. G. Fu -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216541 The nonintegrable phase factor and gauge theory / Ronald O. Fulp -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216542 The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity / Gregory J. Galloway -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216543 Weyl structures on self-dual conformal manifolds / Paul Gauduchon -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216544 Chiral anomalies and Dirac families in Riemannian foliations / James F. Glazebrook and Franz W. Kamber -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216545 What is the shape of space in a spacetime? / Steven G. Harris -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216546 The kinematics of the gravitational field / Adam D. Helfer -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216547 Support theorems in integral geometry and their applications / Sigurdur Helgason -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216548 Killing spinors and eigenvalues of the Dirac operator / Oussama Hijazi -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216549 Einstein metrics on circle bundles / Gary R. Jensen and Marco Rigoli -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216550 Topological and differentiable structures of the complement of an arrangement of hyperplanes / Tan Jiang and Stephen S.-T. Yau -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216551 The relationship between the moduli spaces of vector bundles on $K3$ surfaces and Enriques surfaces / Hoil Kim -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216552 Self-dual manifolds with symmetry / C. LeBrun and Y. S. Poon -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216553 Remarks on the Skyrme model / Elliott H. Lieb -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216554 Geometric settings for quantum systems with isospin / E. B. Lin -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216555 Heat kernels on covering spaces and topological invariants / John Lott -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216556 The heat kernels of symmetric spaces / Qi Keng Lu -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216557 CR-geometry and deformations of isolated singularities / John J. Millson -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216558 Generalized symplectic geometry on the frame bundle of a manifold / L. K. Norris -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216559 Complex geometry and string theory / D. H. Phong -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216560 Constructing non-self-dual Yang-Mills connections on $S^4$ with arbitrary Chern number / Lorenzo Sadun and Jan Segert -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216561 The Yang-Mills measure for the two-sphere / Ambar Sengupta -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216562 Examples of nonminimal critical points in gauge theory / L. M. Sibner -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216563 Spectral invariants of pseudoconformal manifolds / Nancy K. Stanton -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216564 $L_2$-cohomology and index theory of noncompact manifolds / Mark Stern -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216565 On Calabi-Yau three-folds fibered over smooth complex surfaces / Wing-Wah Sung -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216566 Degeneration of K�ahler-Einstein manifolds. I / Gang Tian -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216567 Flat connections on products of determinant bundles / Yue Lin L. Tong -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216568 Surfaces riemanniennes �a\ singularit�es simples / Marc Troyanov -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216569 Remarks on certain higher-dimensional quasi-Fuchsian domains / S.-T. Yau and F. Zheng -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216570 $L^p$-cohomology: Banach spaces and homological methods on Riemannian manifolds / Steven Zucker -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216571
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"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.

Invariants of Gauss maps of theta divisors / Malcolm Adams, Clint McCrory, Ted Shifrin and Robert Varley -- On characteristics of hypersurfaces in symplectic manifolds / Augustin Banyaga -- Disprisoning and pseudoconvex manifolds / John K. Beem -- On the holonomy of Lorentzian manifolds / L. B�erard-Bergery and A. Ikemakhen -- Spinors, Dirac operators, and changes of metrics / Jean-Pierre Bourguignon -- The hyper-K�ahler geometry of the ADHM construction and quaternionic geometric invariant theory / Charles P. Boyer and Benjamin M. Mann -- Nonabelian vortices and a new Yang-Mills-Higgs energy / Steven B. Bradlow -- What are the best almost-complex structures on the 6-sphere? / Eugenio Calabi and Herman Gluck -- The failure of complex and symplectic manifolds to be K�ahlerian / Luis A. Cordero, Marisa Fern�andez and Alfred Gray -- Nonabelian Hodge theory / Kevin Corlette -- Geometric invariants and their adiabatic limits / Xianzhe Dai -- Geometry of elementary particles / Andrzej Derdzi�nski -- Existence of connections with prescribed Yang-Mills currents / Dennis DeTurck, Hubert Goldschmidt and Janet Talvacchia -- Vector bundles over homogeneous spaces and complete, locally symmetric spaces / Lance D. Drager and Robert L. Foote -- Margulis space-times / Todd A. Drumm -- Incomplete flat homogeneous geometries / D. Duncan and E. Ihrig -- Geodesic and causal behavior of gravitational plane waves: astigmatic conjugacy / Paul E. Ehrlich and G�erard G. Emch -- Curvature of singular spaces via the normal cycle / Joseph H. G. Fu -- The nonintegrable phase factor and gauge theory / Ronald O. Fulp -- The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity / Gregory J. Galloway -- Weyl structures on self-dual conformal manifolds / Paul Gauduchon -- Chiral anomalies and Dirac families in Riemannian foliations / James F. Glazebrook and Franz W. Kamber -- What is the shape of space in a spacetime? / Steven G. Harris -- The kinematics of the gravitational field / Adam D. Helfer -- Support theorems in integral geometry and their applications / Sigurdur Helgason -- Killing spinors and eigenvalues of the Dirac operator / Oussama Hijazi -- Einstein metrics on circle bundles / Gary R. Jensen and Marco Rigoli -- Topological and differentiable structures of the complement of an arrangement of hyperplanes / Tan Jiang and Stephen S.-T. Yau -- The relationship between the moduli spaces of vector bundles on $K3$ surfaces and Enriques surfaces / Hoil Kim -- Self-dual manifolds with symmetry / C. LeBrun and Y. S. Poon -- Remarks on the Skyrme model / Elliott H. Lieb -- Geometric settings for quantum systems with isospin / E. B. Lin -- Heat kernels on covering spaces and topological invariants / John Lott -- The heat kernels of symmetric spaces / Qi Keng Lu -- CR-geometry and deformations of isolated singularities / John J. Millson -- Generalized symplectic geometry on the frame bundle of a manifold / L. K. Norris -- Complex geometry and string theory / D. H. Phong -- Constructing non-self-dual Yang-Mills connections on $S^4$ with arbitrary Chern number / Lorenzo Sadun and Jan Segert -- The Yang-Mills measure for the two-sphere / Ambar Sengupta -- Examples of nonminimal critical points in gauge theory / L. M. Sibner -- Spectral invariants of pseudoconformal manifolds / Nancy K. Stanton -- $L_2$-cohomology and index theory of noncompact manifolds / Mark Stern -- On Calabi-Yau three-folds fibered over smooth complex surfaces / Wing-Wah Sung -- Degeneration of K�ahler-Einstein manifolds. I / Gang Tian -- Flat connections on products of determinant bundles / Yue Lin L. Tong -- Surfaces riemanniennes �a\ singularit�es simples / Marc Troyanov -- Remarks on certain higher-dimensional quasi-Fuchsian domains / S.-T. Yau and F. Zheng -- $L^p$-cohomology: Banach spaces and homological methods on Riemannian manifolds / Steven Zucker --

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