The Geometry of Four-Manifolds | Taschenbuch

Cover: 9780198502692 | The Geometry of Four-Manifolds | Kronheimer Donaldson (u. a.) | Buch

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Beschreibung

The last ten years have seen rapid advances in the understanding of differentiable four-manifolds, not least of which has been the discovery of new 'exotic' manifolds. These results have had far-reaching consequences in geometry, topology, and mathematical physics, and have proven to be a
mainspring of current mathematical research. This book provides a lucid and accessible account of the modern study of the geometry of four-manifolds. Consequently, it will be required reading for all those mathematicians and theoretical physicists whose research touches on this topic. The authors
present both a thorough treatment of the main lines of these developments in four-manifold topology--notably the definition of new invariants of four-manifolds--and also a wide-ranging treatment of relevant topics from geometry and global analysis. All of the main theorems about Yang-Mills
instantons on four-manifolds are proven in detail. On the geometric side, the book contains a new proof of the classification of instantons on the four-sphere, together with an extensive discussion of the differential geometry of holomorphic vector bundles. At the end of the book the different
strands of the theory are brought together in the proofs of results which settle long-standing problems in four-manifolds topology and which are close to the frontiers of current research. Co-author Donaldson is the 1994 co-recipient of the prestigious Crafoord Prize.

Über den Autor

Professor S. K. Donaldson, Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford, OX1 3LB. Professor P. B. Kronheimer, Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, MA 02138-2901, USA. Professor Donaldson won the Fields Medal for his work in the area of four-manifolds.

Inhaltsverzeichnis

Four-manifolds; Connections; The Fourier transform and ADHM construction; Yang-Mills moduli spaces; Topology and connections; Stable holomorphic bundles over Kähler surfaces; Excision and gluing; Non-existence results; Invariants of smooth four-manifolds; The differential topology of algebraic surfaces; Appendices; References and Index.

Erscheinungsjahr:	1997
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780198502692
ISBN-10:	0198502699
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Donaldson, Kronheimer Kronheimer, P. B. Donaldson, S. K.
Hersteller:	OUP Oxford
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 156 x 25 mm
Von/Mit:	Kronheimer Donaldson (u. a.)
Erscheinungsdatum:	01.12.1997
Gewicht:	0,682 kg

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