Intersection cohomology, simplicial blow-up and rational homotopy:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
July 2018
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 254, number 1214 (second of 5 numbers) |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030569730&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | viii, 108, 4 ungezählte Seiten Illustrationen |
| ISBN: | 9781470428877 |
Internformat
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| 245 | 1 | 0 | |a Intersection cohomology, simplicial blow-up and rational homotopy |c David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c July 2018 | |
| 264 | 4 | |c © 2018 | |
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| 700 | 1 | |a Saralegi-Aranguren, Martintxo |4 aut | |
| 700 | 1 | |a Tanré, Daniel |4 aut | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v volume 254, number 1214 (second of 5 numbers) |w (DE-604)BV008000141 |9 1214 | |
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Datensatz im Suchindex
| _version_ | 1819319910347571200 |
|---|---|
| adam_text | Contents
Introduction 1
Simplicial Blow-up and Intersection-Cohomology 2
Rational Homotopy and Intersection-Formality 3
Outline of the paper 4
Chapter 1. Simplicial blow-up 7
1.1. Filtered face sets 7
1.2. Perverse local systems on filtered face sets 13
1.3. Proof of Theorem A 19
1.4. Cochains on filtered face sets 28
1.5. Particular cases: q = 0, q = oo, cone and suspension 35
1.6. Homotopy of filtered face sets 42
Chapter 2. Rational algebraic models 47
2.1. Perverse differential graded algebras 47
2.2. Balanced perverse cochain complex 52
2.3. Minimal models of balanced perverse CDGA’s 57
2.4. Minimal models of filtered spaces 61
Chapter 3. Formality and examples 69
3.1. Intersection-formality 69
3.2. A model for isolated singularities 72
3.3. Thom spaces 74
3.4. Nodal Hypersurfaces in CP(4) 78
Appendix A. Topological setting 85
A.l. Filtered spaces 85
A.2. Stratified spaces 94
A.3. CS Sets and pseudomanifolds 99
Bibliography 103
Index 107
V
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| id | DE-604.BV045180538 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T18:20:07Z |
| institution | BVB |
| isbn | 9781470428877 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030569730 |
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| physical | viii, 108, 4 ungezählte Seiten Illustrationen |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Chataur, David 1974- Saralegi-Aranguren, Martintxo Tanré, Daniel Intersection cohomology, simplicial blow-up and rational homotopy Memoirs of the American Mathematical Society |
| title | Intersection cohomology, simplicial blow-up and rational homotopy |
| title_auth | Intersection cohomology, simplicial blow-up and rational homotopy |
| title_exact_search | Intersection cohomology, simplicial blow-up and rational homotopy |
| title_full | Intersection cohomology, simplicial blow-up and rational homotopy David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré |
| title_fullStr | Intersection cohomology, simplicial blow-up and rational homotopy David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré |
| title_full_unstemmed | Intersection cohomology, simplicial blow-up and rational homotopy David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré |
| title_short | Intersection cohomology, simplicial blow-up and rational homotopy |
| title_sort | intersection cohomology simplicial blow up and rational homotopy |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030569730&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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