A DISCUSSION OF DUALITY PROBLEM IN THE CONTEXT OF INTERSECTION COHOMOLOGY

碩士 === 國立臺灣大學 === 數學研究所 === 87 === The Poincare duality theorem holds for singular spaces by the introduction of intersection cohomology provided the spaces satisfy some conditions. In this note we will introduce Goresky and MacPherson's construction of intersection cohomology as wel...

Full description

Bibliographic Details
Main Authors: Cherng-tiao Perng, 彭成條
Other Authors: Chin-Lung Wang
Format: Others
Language:en_US
Published: 1999
Online Access:http://ndltd.ncl.edu.tw/handle/64969105917358548004
Description
Summary:碩士 === 國立臺灣大學 === 數學研究所 === 87 === The Poincare duality theorem holds for singular spaces by the introduction of intersection cohomology provided the spaces satisfy some conditions. In this note we will introduce Goresky and MacPherson's construction of intersection cohomology as well as Deligne's construction of perverse sheaves. We want to see closer the relation between perverse sheaves and intersection cohomology.