The wild world of 4 manifolds share this page alexandru scorpan 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 . Scorpan a the wild world of 4 manifolds scorpan alexandru isbn 9780821837498 kostenloser versand fur alle bucher mit versand und verkauf duch amazon. Part ii smooth 4 manifolds and intersection forms contents of part ii 107 chapter 3 getting acquainted with intersection forms 111 31 preparation representing homology by surfaces 112 32 intersection forms 115 33 essential example the k3 surface 127 34 notes 134 chapter 4 intersection forms and topology 139 41 whiteheads . 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 . The wild world of 4 manifolds alexandru scorpan american mathematical soc may 10 2005 mathematics 609 pages 0 reviews 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