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...

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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
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spelling ndltd-TW-087NTU004790102016-02-01T04:12:42Z http://ndltd.ncl.edu.tw/handle/64969105917358548004 A DISCUSSION OF DUALITY PROBLEM IN THE CONTEXT OF INTERSECTION COHOMOLOGY 有關intersection上同調群之對偶定理的探討 Cherng-tiao Perng 彭成條 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. Chin-Lung Wang 王金龍 1999 學位論文 ; thesis 32 en_US
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language en_US
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description 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.
author2 Chin-Lung Wang
author_facet Chin-Lung Wang
Cherng-tiao Perng
彭成條
author Cherng-tiao Perng
彭成條
spellingShingle Cherng-tiao Perng
彭成條
A DISCUSSION OF DUALITY PROBLEM IN THE CONTEXT OF INTERSECTION COHOMOLOGY
author_sort Cherng-tiao Perng
title A DISCUSSION OF DUALITY PROBLEM IN THE CONTEXT OF INTERSECTION COHOMOLOGY
title_short A DISCUSSION OF DUALITY PROBLEM IN THE CONTEXT OF INTERSECTION COHOMOLOGY
title_full A DISCUSSION OF DUALITY PROBLEM IN THE CONTEXT OF INTERSECTION COHOMOLOGY
title_fullStr A DISCUSSION OF DUALITY PROBLEM IN THE CONTEXT OF INTERSECTION COHOMOLOGY
title_full_unstemmed A DISCUSSION OF DUALITY PROBLEM IN THE CONTEXT OF INTERSECTION COHOMOLOGY
title_sort discussion of duality problem in the context of intersection cohomology
publishDate 1999
url http://ndltd.ncl.edu.tw/handle/64969105917358548004
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