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Intersection cohomology, simplicial blow-up and rational homotopy /
Let X be a pseudomanifold. In this text, the authors use a simplicial blow-up to define a cochain complex whose cohomology with coefficients in a field, is isomorphic to the intersection cohomology of X, introduced by M. Goresky and R. MacPherson. The authors do it simplicially in the setting of a f...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2018]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1214. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Let X be a pseudomanifold. In this text, the authors use a simplicial blow-up to define a cochain complex whose cohomology with coefficients in a field, is isomorphic to the intersection cohomology of X, introduced by M. Goresky and R. MacPherson. The authors do it simplicially in the setting of a filtered version of face sets, also called simplicial sets without degeneracies, in the sense of C.P. Rourke and B.J. Sanderson. They define perverse local systems over filtered face sets and intersection cohomology with coefficients in a perverse local system. In particular, as announced above whe. |
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| Notas: | "July 2018, volume 254, number 1214 (second of 5 numbers)." |
| Descripción Física: | 1 online resource (viii, 108 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 103-105) and index. |
| ISBN: | 1470447444 9781470447441 |
| ISSN: | 1947-6221 ; |