Author: Alexandru Scorpan
Publisher: American Mathematical Society
ISBN: 1470468611
Category : Mathematics
Languages : en
Pages : 614
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Book Description
What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. —MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. — Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold—the intersection form—and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.
Author: Rui Loja Fernandes
Publisher: American Institute of Physics
ISBN:
Category : Computers
Languages : en
Pages : 236
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Lisbon, Portugal, 5-8 September 2007
Author:
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Category : Mathematics
Languages : en
Pages :
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Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.
Author: Australian Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
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Author:
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ISBN:
Category : Mathematics
Languages : en
Pages :
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Author:
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Category : Algebraic topology
Languages : en
Pages : 524
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Author: Charles Boyer
Publisher: Oxford University Press
ISBN:
Category : Mathematics
Languages : en
Pages : 613
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Book Description
This book offers an extensive modern treatment of Sasakian geometry, which is of importance in many different fields in geometry and physics.
Author:
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Category : Mathematics
Languages : en
Pages :
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Author: Hagen Kleinert
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789812834263
Category : Science
Languages : en
Pages : 1048
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Book Description
The Marcel Grossmann Meetings are three-yearly forums that meet to discuss recent advances in gravitation, general relativity and relativistic field theories, emphasizing their mathematical foundations, physical predictions and experimental tests. These meetings aim to facilitate the exchange of ideas among scientists, to deepen our understanding of space–time structures, and to review the status of ongoing experiments and observations testing Einstein's theory of gravitation either from ground or space-based experiments. Since the first meeting in 1975 in Trieste, Italy, which was established by Remo Ruffini and Abdus Salam, the range of topics presented at these meetings has gradually widened to accommodate issues of major scientific interest, and attendance has grown to attract more than 900 participants from over 80 countries.This proceedings volume of the eleventh meeting in the series, held in Berlin in 2006, highlights and records the developments and applications of Einstein's theory in diverse areas ranging from fundamental field theories to particle physics, astrophysics and cosmology, made possible by unprecedented technological developments in experimental and observational techniques from space, ground and underground observatories. It provides a broad sampling of the current work in the field, especially relativistic astrophysics, including many reviews by leading figures in the research community.
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Category : American literature
Languages : en
Pages :
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