The Wild World of 4-Manifolds

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9780821837498: The Wild World of 4-Manifolds

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 too small to have room to undo them. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. The first part of the book puts things in context with a survey of higher dimensions and of topological 4-manifolds. The second part investigates the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as an important source of examples. The fourth and final part of the book presents gauge theory. This differential-geometric method has brought to light the unwieldy nature of smooth 4-manifolds; and although the method brings new insights, it has raised more questions than answers. The structure of the book is modular and organized into a main track of approximately 200 pages, which are augmented with copious notes at the end of each chapter, presenting many extra details, proofs, and developments. To help the reader, the text is peppered with 250 illustrations and has an extensive index.

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1.

Alexandru Scorpan
Editore: American Mathematical Society, United States (2005)
ISBN 10: 0821837494 ISBN 13: 9780821837498
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Descrizione libro American Mathematical Society, United States, 2005. Hardback. Condizione libro: New. Illustrated edition. 260 x 184 mm. Language: English . Brand New Book. 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 too small to have room to undo them. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. The first part of the book puts things in context with a survey of higher dimensions and of topological 4-manifolds. The second part investigates the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as an important source of examples. The fourth and final part of the book presents gauge theory. This differential-geometric method has brought to light the unwieldy nature of smooth 4-manifolds; and although the method brings new insights, it has raised more questions than answers.The structure of the book is modular and organized into a main track of approximately 200 pages, which are augmented with copious notes at the end of each chapter, presenting many extra details, proofs, and developments. To help the reader, the text is peppered with 250 illustrations and has an extensive index. Codice libro della libreria AAS9780821837498

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2.

Alexandru Scorpan
Editore: American Mathematical Society, United States (2005)
ISBN 10: 0821837494 ISBN 13: 9780821837498
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Descrizione libro American Mathematical Society, United States, 2005. Hardback. Condizione libro: New. Illustrated edition. 260 x 184 mm. Language: English . Brand New Book. 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 too small to have room to undo them. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. The first part of the book puts things in context with a survey of higher dimensions and of topological 4-manifolds. The second part investigates the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as an important source of examples. The fourth and final part of the book presents gauge theory. This differential-geometric method has brought to light the unwieldy nature of smooth 4-manifolds; and although the method brings new insights, it has raised more questions than answers.The structure of the book is modular and organized into a main track of approximately 200 pages, which are augmented with copious notes at the end of each chapter, presenting many extra details, proofs, and developments. To help the reader, the text is peppered with 250 illustrations and has an extensive index. Codice libro della libreria AAS9780821837498

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Scorpan, Alexandru
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ISBN 10: 0821837494 ISBN 13: 9780821837498
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Descrizione libro Amer Mathematical Society, 2005. HRD. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria KS-9780821837498

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Descrizione libro American Mathematical Society. Hardcover. Condizione libro: New. 0821837494 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 14330539

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218374980000000

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Alexandru Scorpan
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Descrizione libro American Mathematical Society, 2005. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821837498

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Alexandru Scorpan
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Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, The Wild World of 4-Manifolds (Illustrated edition), Alexandru Scorpan, 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 too small to have room to undo them. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. The first part of the book puts things in context with a survey of higher dimensions and of topological 4-manifolds. The second part investigates the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as an important source of examples. The fourth and final part of the book presents gauge theory. This differential-geometric method has brought to light the unwieldy nature of smooth 4-manifolds; and although the method brings new insights, it has raised more questions than answers.The structure of the book is modular and organized into a main track of approximately 200 pages, which are augmented with copious notes at the end of each chapter, presenting many extra details, proofs, and developments. To help the reader, the text is peppered with 250 illustrations and has an extensive index. Codice libro della libreria B9780821837498

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Alexandru Scorpan
Editore: American Mathematical Society 2005-05-15, Providence (2005)
ISBN 10: 0821837494 ISBN 13: 9780821837498
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Descrizione libro American Mathematical Society 2005-05-15, Providence, 2005. hardback. Condizione libro: New. Codice libro della libreria 9780821837498

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Alexandru Scorpan
Editore: American Mathematical Society (2005)
ISBN 10: 0821837494 ISBN 13: 9780821837498
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Descrizione libro American Mathematical Society, 2005. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. This is 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 too small to have room to undo them. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today.The first part of the book puts things in context with a survey of higher dimensions and of topological 4-manifolds. The second part investigates the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as an important source of examples. The fourth and final part of the book presents gauge theory. This differential-geometric method has brought to light the unwieldy nature of smooth 4-manifolds; and although the method brings new insights, it has raised more questions than answers.The structure of the book is modular and organized into a main track of approximately 200 pages, which are augmented with copious notes at the end of each chapter, presenting many extra details, proofs, and developments. To help the reader, the text is peppered with over 250 illustrations and has an extensive index. Codice libro della libreria 1005110171

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Alexandru Scorpan
Editore: Amer Mathematical Society (2005)
ISBN 10: 0821837494 ISBN 13: 9780821837498
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Revaluation Books
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Descrizione libro Amer Mathematical Society, 2005. Hardcover. Condizione libro: Brand New. illustrated edition. 609 pages. 10.00x7.00x1.75 inches. In Stock. Codice libro della libreria z-0821837494

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