Band surgeries and crossing changes between fibered links
| Autor: | Dorothy Buck, Matt Rathbun, Koya Shimokawa, Kai Ishihara |
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| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Fiber (mathematics) General Mathematics 010102 general mathematics Physics::Optics Fibered knot Geometric Topology (math.GT) 01 natural sciences Mathematics - Geometric Topology Corollary Monodromy 57M25 0103 physical sciences FOS: Mathematics sense organs 010307 mathematical physics 0101 mathematics skin and connective tissue diseases Mathematics |
| Zdroj: | Journal of the London Mathematical Society. 94:557-582 |
| ISSN: | 1469-7750 0024-6107 |
| DOI: | 10.1112/jlms/jdw049 |
| Popis: | We characterize cutting arcs on fiber surfaces that produce new fiber surfaces, and the changes in monodromy resulting from such cuts. As a corollary, we characterize band surgeries between fibered links and introduce an operation called Generalized Hopf banding. We further characterize generalized crossing changes between fibered links, and the resulting changes in monodromy. 27 pages, 10 figures. New version has substantially shortened proof of a key lemma. Additionally, results about monodromy changes have been added |
| Databáze: | OpenAIRE |
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