|
|
libcats.org
Sheaves in TopologyLajos DiosiConstructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds, a great geometrical idea due to R. Thom and H. Whitney. These sheaves, generalizing the local systems that are so ubiquitous in mathematics, have powerful applications to the topology of such singular spaces (mainly algebraic and analytic complex varieties). This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant)coefficients. The first 5 chapters introduce derived categories, direct and inverse images of sheaf complexes, Verdier duality, constructible and perverse sheaves, vanishing and characteristic cycles. They also discuss relations to D-modules and intersection cohomology. Later chapters apply this powerful tool to the study of the topology of singularities, polynomial functions and hyperplane arrangements. Some fundamental results, for which excellent sources exist, are not proved but just stated and illustrated by examples and corollaries. In this way, the reader is guided rather quickly from the basic theory to current research questions, supported in this by examples and exercises. EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:
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
Только что пользователи скачали эти книги:
Essentials of Physical Medicine and RehabilitationАвтор: Walter R. Frontera MD PhD, Автор: Julie K. Silver MDКатегория: medicine - surgery
Размер книги: 13.01 Mb
PHP Programming with PEARАвтор: Schmidt Stephan Stoyan Stefanov Wormus Aaron Lucke CarstenКатегория: Компьютеры, Программирование
Размер книги: 5.34 Mb
End Of The Peasantry: The Rural Labor Movement in Northeast Brazil, 1961-1988 (Pitt Latin American Studies)Автор: Anthony W. Pereira
Размер книги: 639 Kb
Narrative, Nature, and the Natural Law: From Aquinas to International Human RightsАвтор: C. Fred Alford
Размер книги: 763 Kb
|
|
|