Progress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems. Among the earlier highlights of this period was Casson's λ-invariant that was instrumental in proving the vanishing of the Rohlin invariant of homotopy 3-spheres. The proof of the three-dimensional Poincare conjecture has rendered this application moot but hardly made Casson's contribution less relevant: in fact, a lot of modern day topology, including a multitude of Floer homology theories, can be traced back to his λ-invariant.
The principal goal of this book, now in its second revised edition, remains providing an introduction to the low-dimensional topology and Casson's theory; it also reaches out, when appropriate, to more recent research topics. The book covers some classical material, such as Heegaard splittings, Dehn surgery, and invariants of knots and links. It then proceeds through the Kirby calculus and Rohlin's theorem to Casson's invariant and its applications, and concludes with a brief overview of recent developments.
The book will be accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic and differential topology, including the fundamental group, basic homology theory, transversality, and Poincare duality on manifolds.
Автор: Casson Eddie Название: Farm Story: Coming Out of Indiana ISBN: 0692783083 ISBN-13(EAN): 9780692783085 Издательство: Неизвестно Цена: 14670.00 T Наличие на складе: Невозможна поставка.
Автор: Casson John Название: Sir Henry Neville Was Shakespeare ISBN: 1445654660 ISBN-13(EAN): 9781445654669 Издательство: Неизвестно Рейтинг: Цена: 21110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Who really wrote the plays of Shakespeare?
Автор: Casson M. , Ed. Название: Markets and Market Institutions: Their Origin and Evolution ISBN: 1849803897 ISBN-13(EAN): 9781849803892 Издательство: Edward Elgar Publishers Рейтинг: Цена: 474490.00 T Наличие на складе: Поставка под заказ. Описание: The origin of markets is a central issue in economics and economic history, but until now there has been no definitive reference source on the subject. They show that markets did not evolve in a purely spontaneous fashion, but as part of the planned development of market centres by local landowners and business people.
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