Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: With this book, appearing in Springer's prestigious series Ergebnisse der Mathematik, Friedman and Morgan give a comprehensive introduction to current research in the field of applications of gauge theory to complex surfaces. Their streamlined modern presentation of this very active area of mathematical research will be very welcome to researchers and graduate students alike. The study is divided into 4 main areas: - Classical complex surface theory; - gauge theory and Donaldson invariants; - deformations of holomorphic vector bundles; - explicit calculations for elliptic surfaces. The book very successfully bridges the two areas of 4-manifold topology and complex surface theory, thus unifying the classical theory of Barth/Peters/van de Ven (ERGEBNISSE 4) with gauge theory techniques described by Donaldson/Kronheimer. Buchnummer des Verkäufers
Inhaltsangabe: In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5  and proceeded to prove the h-cobordism theorem . This result inaugurated a major effort to classify all possible smooth and topological structures on manifolds of dimension at least 5. By the mid 1970's the main outlines of this theory were complete, and explicit answers (especially concerning simply connected manifolds) as well as general qualitative results had been obtained. As an example of such a qualitative result, a closed, simply connected manifold of dimension 2: 5 is determined up to finitely many diffeomorphism possibilities by its homotopy type and its Pontrjagin classes. There are similar results for self-diffeomorphisms, which, at least in the simply connected case, say that the group of self-diffeomorphisms of a closed manifold M of dimension at least 5 is commensurate with an arithmetic subgroup of the linear algebraic group of all automorphisms of its so-called rational minimal model which preserve the Pontrjagin classes . Once the high dimensional theory was in good shape, attention shifted to the remaining, and seemingly exceptional, dimensions 3 and 4. The theory behind the results for manifolds of dimension at least 5 does not carryover to manifolds of these low dimensions, essentially because there is no longer enough room to maneuver. Thus new ideas are necessary to study manifolds of these "low" dimensions.
Inhaltsangabe: This book applies the recent techniques of gauge theory to study the smooth classification of compact complex surfaces. The study is divided into four main areas: Classical complex surface theory, gauge theory and Donaldson invariants, deformations of holomorphic vector bundles, and explicit calculations for elliptic sur§ faces. The book represents a marriage of the techniques of algebraic geometry and 4-manifold topology and gives a detailed exposition of some of the main themes in this very active area of current research.
Buchbeschreibung Springer, 1994. Buchzustand: Good. 1994th Edition. N/A. Former Library book. Shows some signs of wear, and may have some markings on the inside. Buchnummer des Verkäufers GRP65006799
Buchbeschreibung Springer. Hardcover. Buchzustand: Good. 3540570586 Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Buchnummer des Verkäufers Z3540570586Z3
Buchbeschreibung Buchzustand: good. 907 Gramm. Buchnummer des Verkäufers M03540570586-G
Buchbeschreibung Springer, 1994. Hardcover. Buchzustand: New. This item is printed on demand. Buchnummer des Verkäufers SONG3540570586
Buchbeschreibung Springer, 2017. Hardcover. Buchzustand: Very Good. This item is printed on demand. Buchnummer des Verkäufers P023540570586
Buchbeschreibung Springer, 1994. Hardback. Buchzustand: NEW. 9783540570585 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Buchnummer des Verkäufers HTANDREE0338854
Buchbeschreibung Springer, 2016. Paperback. Buchzustand: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Buchnummer des Verkäufers ria9783540570585_lsuk
Buchbeschreibung Springer, 1994. Buchzustand: New. This item is printed on demand for shipment within 3 working days. Buchnummer des Verkäufers LP9783540570585
Buchbeschreibung Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 1994. HRD. Buchzustand: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Buchnummer des Verkäufers IP-9783540570585
Buchbeschreibung Springer, 2017. Hardcover. Buchzustand: New. This item is printed on demand. Buchnummer des Verkäufers P113540570586