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Intersection cohomology

This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewis...

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Autor principal: Borel, Armand
Lenguaje:eng
Publicado: Springer 1984
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-0-8176-4765-0
http://cds.cern.ch/record/2023275
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author Borel, Armand
author_facet Borel, Armand
author_sort Borel, Armand
collection CERN
description This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory as developed by M. Goresky and R. MacPherson in Topology 19 (1980), and in Inventiones Mathematicae 72 (1983). While some familiarity with algebraic topology and sheaf theory is assumed, the notes include a self-contained account of further material on constructibility, derived categories, Verdier duality, biduality, and on stratified spaces, which is used in the second paper but not found in standard texts. "The volume should be useful to someone interested in acquiring some basic knowledge about the field..." —Mathematical Reviews.
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spelling cern-20232752021-04-21T20:14:11Zdoi:10.1007/978-0-8176-4765-0http://cds.cern.ch/record/2023275engBorel, ArmandIntersection cohomologyMathematical Physics and MathematicsThis book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory as developed by M. Goresky and R. MacPherson in Topology 19 (1980), and in Inventiones Mathematicae 72 (1983). While some familiarity with algebraic topology and sheaf theory is assumed, the notes include a self-contained account of further material on constructibility, derived categories, Verdier duality, biduality, and on stratified spaces, which is used in the second paper but not found in standard texts. "The volume should be useful to someone interested in acquiring some basic knowledge about the field..." —Mathematical Reviews.Springeroai:cds.cern.ch:20232751984
spellingShingle Mathematical Physics and Mathematics
Borel, Armand
Intersection cohomology
title Intersection cohomology
title_full Intersection cohomology
title_fullStr Intersection cohomology
title_full_unstemmed Intersection cohomology
title_short Intersection cohomology
title_sort intersection cohomology
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-0-8176-4765-0
http://cds.cern.ch/record/2023275
work_keys_str_mv AT borelarmand intersectioncohomology