|
|
libcats.org
Geometry of Four-ManifoldsDonaldson K., Kronheimer P. B.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.
Популярные книги за неделю:
Проектирование и строительство. Дом, квартира, садАвтор: Петер Нойферт, Автор: Людвиг Нефф
Размер книги: 20.83 Mb
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Радиолюбительские схемы на ИС типа 555Автор: Трейстер Р.Категория: Электротехника и связь
Размер книги: 13.64 Mb
Только что пользователи скачали эти книги:
Control Using Logic-Based SwitchingАвтор: A.Stephen MorseКатегория: Engineering
Размер книги: 17.25 Mb
Церковь Священной Белой Расы на пути к богочеловечествуАвтор: Лазарева ЕкатеринаКатегория: Научная литература
Размер книги: 20 Kb
Nutrition and Alcohol: Linking Nutrient Interactions and Dietary IntakeАвтор: Ronald R. Watson, Автор: Victor R. PreedyКатегория: Психология
Размер книги: 3.38 Mb
Disorderly Discourse: Narrative, Conflict, and Inequality (Oxford Studies in Anthropological Linguistics, 7)Автор: Charles Briggs
Размер книги: 15.30 Mb
Интегральные преобразования обобщенных функцийАвтор: Брычков Ю.А., Автор: Прудников А.П.
Размер книги: 2.15 Mb
|
|
|