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Author: Samuel I. Goldberg
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 356
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Book Description
Revised edition examines topology of differentiable manifolds; curvature, homology of Riemannian manifolds; compact Lie groups; complex manifolds; curvature, homology of Kaehler manifolds.
Author: Samuel I. Goldberg
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 356
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Book Description
Revised edition examines topology of differentiable manifolds; curvature, homology of Riemannian manifolds; compact Lie groups; complex manifolds; curvature, homology of Kaehler manifolds.
Author:
Publisher: Academic Press
ISBN: 0080873235
Category : Mathematics
Languages : en
Pages : 335
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Book Description
Curvature and Homology
Author: Samuel I. Goldberg
Publisher: Courier Corporation
ISBN: 048640207X
Category : Mathematics
Languages : en
Pages : 417
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Book Description
This systematic and self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds. It generalizes the theory of Riemann surfaces to that of Riemannian manifolds. Includes four helpful appendixes. "A valuable survey." — Nature. 1962 edition.
Author: Samuel J. Goldberg
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author:
Publisher: Academic Press
ISBN: 008087360X
Category : Mathematics
Languages : en
Pages : 467
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Book Description
Connections, Curvature, and Cohomology V1
Author: Samuel I. Goldberg (mathématicien).)
Publisher:
ISBN: 9780486643144
Category : Curvature
Languages : en
Pages : 0
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Book Description
Author: J.L. Dupont
Publisher: Springer
ISBN: 3540359141
Category : Mathematics
Languages : en
Pages : 185
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Book Description
Author: Ib H. Madsen
Publisher: Cambridge University Press
ISBN: 9780521589567
Category : Mathematics
Languages : en
Pages : 302
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Book Description
An introductory textbook on cohomology and curvature with emphasis on applications.
Author: Peter S. Ozsváth
Publisher: American Mathematical Soc.
ISBN: 1470417375
Category : Education
Languages : en
Pages : 423
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Book Description
Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves. Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.
Author: Werner Hildbert Greub
Publisher: Academic Press
ISBN: 0123027039
Category : Mathematics
Languages : en
Pages : 618
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Book Description
This monograph developed out of the Abendseminar of 1958-1959 at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles. It also addresses the purely algebraic theory of the operation of a Lie algebra in a graded differential algebra.
