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关键词:
Sheaves in Topology
书目信息
ISBN:
9783540206651(13位)
中图分类号:
K9
杜威分类号:
中文译名:
拓扑学中的层
作者:
Dimca
编者:
语种:
English
出版信息
出版社:
Springer
出版地:
出版年:
2004
版本:
版本类型:
原版
丛书题名:
Universitext
卷期:
文献信息
关键词:
Mathematics
前言:
摘要:
内容简介:
Constructible 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.
目次:
Derived Categories.- Derived Categories in Topology.- Poincare-Verdier Duality.- Constructible Sheaves, Vanishing Cycles and Characteristic Varieties.- Perverse Sheaves.- Applications to the Geometry of Singular Spaces.- References.- Index.
附录:
全文链接:
读者对象:
grad.
实体信息
页码:
装帧:
soft
尺寸:
其它形态细节:
其它信息
原价:
EUR
39.9500
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
3540206655
issue:
2006JC01
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