Braids and coverings: selected topics
This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homot...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1989
|
| Series: | London Mathematical Society student texts
18 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Summary: | This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markov's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory |
| Physical Description: | 1 Online-Ressource (x, 191 Seiten) |
| ISBN: | 9780511613098 |
| DOI: | 10.1017/CBO9780511613098 |
Staff View
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| id | DE-604.BV043940566 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511613098 |
| language | English |
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| publishDate | 1989 |
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| publisher | Cambridge University Press |
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| spelling | Hansen, Vagn Lundsgaard 1940- Verfasser (DE-588)111335299 aut Braids and coverings selected topics Vagn Lundsgaard Hansen Braids & Coverings Cambridge Cambridge University Press 1989 1 Online-Ressource (x, 191 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 18 This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markov's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory Braid theory Covering spaces (Topology) Überlagerung Mathematik (DE-588)4214216-7 gnd rswk-swf Knotentheorie (DE-588)4164318-5 gnd rswk-swf Zopf Mathematik (DE-588)4191043-6 gnd rswk-swf Polynom (DE-588)4046711-9 gnd rswk-swf Zopf Mathematik (DE-588)4191043-6 s DE-604 Überlagerung Mathematik (DE-588)4214216-7 s Knotentheorie (DE-588)4164318-5 s 1\p DE-604 Polynom (DE-588)4046711-9 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-38479-7 Erscheint auch als Druck-Ausgabe 978-0-521-38757-6 https://doi.org/10.1017/CBO9780511613098 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hansen, Vagn Lundsgaard 1940- Braids and coverings selected topics Braid theory Covering spaces (Topology) Überlagerung Mathematik (DE-588)4214216-7 gnd Knotentheorie (DE-588)4164318-5 gnd Zopf Mathematik (DE-588)4191043-6 gnd Polynom (DE-588)4046711-9 gnd |
| subject_GND | (DE-588)4214216-7 (DE-588)4164318-5 (DE-588)4191043-6 (DE-588)4046711-9 |
| title | Braids and coverings selected topics |
| title_alt | Braids & Coverings |
| title_auth | Braids and coverings selected topics |
| title_exact_search | Braids and coverings selected topics |
| title_full | Braids and coverings selected topics Vagn Lundsgaard Hansen |
| title_fullStr | Braids and coverings selected topics Vagn Lundsgaard Hansen |
| title_full_unstemmed | Braids and coverings selected topics Vagn Lundsgaard Hansen |
| title_short | Braids and coverings |
| title_sort | braids and coverings selected topics |
| title_sub | selected topics |
| topic | Braid theory Covering spaces (Topology) Überlagerung Mathematik (DE-588)4214216-7 gnd Knotentheorie (DE-588)4164318-5 gnd Zopf Mathematik (DE-588)4191043-6 gnd Polynom (DE-588)4046711-9 gnd |
| topic_facet | Braid theory Covering spaces (Topology) Überlagerung Mathematik Knotentheorie Zopf Mathematik Polynom |
| url | https://doi.org/10.1017/CBO9780511613098 |
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