Geometry in mathematical physics and related topics / [electronic resource]
Robert Greene, S.T. Yau, editors.
- Providence, R.I. : American Mathematical Society, c1993.
- 1 online resource (xxii, 655 p. : ill.)
- Proceedings of symposia in pure mathematics, v. 54.2 0082-0717 (print); 2324-707X (online); .
"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 / 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 hyper-K�ahler geometry of the ADHM construction and quaternionic geometric invariant theory / Nonabelian 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 K�ahlerian / 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 $S^4$ with arbitrary Chern number / The Yang-Mills measure for the two-sphere / Examples of nonminimal critical points in gauge theory / Spectral invariants of pseudoconformal manifolds / $L_2$-cohomology and index theory of noncompact manifolds / On Calabi-Yau three-folds fibered over smooth complex surfaces / Degeneration of K�ahler-Einstein manifolds. I / Flat connections on products of determinant bundles / Surfaces riemanniennes �a\ singularit�es simples / Remarks on certain higher-dimensional quasi-Fuchsian domains / $L^p$-cohomology: Banach spaces and homological methods on Riemannian manifolds / Malcolm Adams, Clint McCrory, Ted Shifrin and Robert Varley -- Augustin Banyaga -- John K. Beem -- L. B�erard-Bergery and A. Ikemakhen -- Jean-Pierre Bourguignon -- Charles P. Boyer and Benjamin M. Mann -- Steven B. Bradlow -- Eugenio Calabi and Herman Gluck -- Luis A. Cordero, Marisa Fern�andez and Alfred Gray -- Kevin Corlette -- Xianzhe Dai -- Andrzej Derdzi�nski -- Dennis DeTurck, Hubert Goldschmidt and Janet Talvacchia -- Lance D. Drager and Robert L. Foote -- Todd A. Drumm -- D. Duncan and E. Ihrig -- Paul E. Ehrlich and G�erard G. Emch -- Joseph H. G. Fu -- Ronald O. Fulp -- Gregory J. Galloway -- Paul Gauduchon -- James F. Glazebrook and Franz W. Kamber -- Steven G. Harris -- Adam D. Helfer -- Sigurdur Helgason -- Oussama Hijazi -- Gary R. Jensen and Marco Rigoli -- Tan Jiang and Stephen S.-T. Yau -- Hoil Kim -- C. LeBrun and Y. S. Poon -- Elliott H. Lieb -- E. B. Lin -- John Lott -- Qi Keng Lu -- John J. Millson -- L. K. Norris -- D. H. Phong -- Lorenzo Sadun and Jan Segert -- Ambar Sengupta -- L. M. Sibner -- Nancy K. Stanton -- Mark Stern -- Wing-Wah Sung -- Gang Tian -- Yue Lin L. Tong -- Marc Troyanov -- S.-T. Yau and F. Zheng -- Steven Zucker -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216524 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216525 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216526 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216527 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216528 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216529 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216530 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216531 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216532 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216533 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216534 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216535 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216536 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216537 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216538 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216539 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216540 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216541 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216542 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216543 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216544 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216545 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216546 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216547 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216548 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216549 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216550 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216551 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216552 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216553 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216554 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216555 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216556 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216557 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216558 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216559 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216560 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216561 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216562 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216563 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216564 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216565 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216566 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216567 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216568 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216569 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216570 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216571
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821893531 (online)
Complex manifolds--Congresses.
Mathematical physics--Congresses.
QA641 QA331.7 / .D3833 1993 pt. 2
516.3/6 s 515/.9
"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 / 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 hyper-K�ahler geometry of the ADHM construction and quaternionic geometric invariant theory / Nonabelian 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 K�ahlerian / 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 $S^4$ with arbitrary Chern number / The Yang-Mills measure for the two-sphere / Examples of nonminimal critical points in gauge theory / Spectral invariants of pseudoconformal manifolds / $L_2$-cohomology and index theory of noncompact manifolds / On Calabi-Yau three-folds fibered over smooth complex surfaces / Degeneration of K�ahler-Einstein manifolds. I / Flat connections on products of determinant bundles / Surfaces riemanniennes �a\ singularit�es simples / Remarks on certain higher-dimensional quasi-Fuchsian domains / $L^p$-cohomology: Banach spaces and homological methods on Riemannian manifolds / Malcolm Adams, Clint McCrory, Ted Shifrin and Robert Varley -- Augustin Banyaga -- John K. Beem -- L. B�erard-Bergery and A. Ikemakhen -- Jean-Pierre Bourguignon -- Charles P. Boyer and Benjamin M. Mann -- Steven B. Bradlow -- Eugenio Calabi and Herman Gluck -- Luis A. Cordero, Marisa Fern�andez and Alfred Gray -- Kevin Corlette -- Xianzhe Dai -- Andrzej Derdzi�nski -- Dennis DeTurck, Hubert Goldschmidt and Janet Talvacchia -- Lance D. Drager and Robert L. Foote -- Todd A. Drumm -- D. Duncan and E. Ihrig -- Paul E. Ehrlich and G�erard G. Emch -- Joseph H. G. Fu -- Ronald O. Fulp -- Gregory J. Galloway -- Paul Gauduchon -- James F. Glazebrook and Franz W. Kamber -- Steven G. Harris -- Adam D. Helfer -- Sigurdur Helgason -- Oussama Hijazi -- Gary R. Jensen and Marco Rigoli -- Tan Jiang and Stephen S.-T. Yau -- Hoil Kim -- C. LeBrun and Y. S. Poon -- Elliott H. Lieb -- E. B. Lin -- John Lott -- Qi Keng Lu -- John J. Millson -- L. K. Norris -- D. H. Phong -- Lorenzo Sadun and Jan Segert -- Ambar Sengupta -- L. M. Sibner -- Nancy K. Stanton -- Mark Stern -- Wing-Wah Sung -- Gang Tian -- Yue Lin L. Tong -- Marc Troyanov -- S.-T. Yau and F. Zheng -- Steven Zucker -- http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216524 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216525 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216526 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216527 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216528 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216529 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216530 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216531 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216532 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216533 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216534 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216535 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216536 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216537 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216538 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216539 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216540 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216541 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216542 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216543 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216544 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216545 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216546 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216547 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216548 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216549 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216550 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216551 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216552 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216553 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216554 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216555 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216556 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216557 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216558 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216559 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216560 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216561 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216562 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216563 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216564 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216565 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216566 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216567 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216568 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216569 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216570 http://www.ams.org/pspum/054.2 http://dx.doi.org/10.1090/pspum/054.2/1216571
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821893531 (online)
Complex manifolds--Congresses.
Mathematical physics--Congresses.
QA641 QA331.7 / .D3833 1993 pt. 2
516.3/6 s 515/.9