Please use this identifier to cite or link to this item:
https://hdl.handle.net/1889/5380
Title: | Algorithms on braids and links in 3-manifolds |
Authors: | Cavicchioli, Paolo |
Issue Date: | 17-Jan-2023 |
Publisher: | Università degli studi di Parma. Dipartimento di Scienze matematiche, fisiche e informatiche |
Document Type: | Doctoral thesis |
Abstract: | In this thesis, the results of Cattabriga-Gabrovsek regarding the equivalence of links in 3-manifolds will be extended to include genus two 3-manifolds, Dunwoody and Takahashi manifolds. The problem of transitioning from a link's representation via plat closure of a braid to a representation via standard closure of a braid in the cases of S3, handlebodies, and thickened surfaces will be addressed and solved. The solutions to these problems will be accompanied by C++ programs that implement the algorithms described. |
Appears in Collections: | Matematica. Tesi di dottorato |
Files in This Item:
File | Description | Size | Format | |
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Relazione finale Dottorato.pdf Restricted Access | Relazione finale dottorato | 118.07 kB | Adobe PDF | View/Open Request a copy |
Tesi_Dottorato_Cavicchioli_Paolo_reviewed.pdf Until 2024-06-01 | Tesi di Dottorato - revisionata | 7.57 MB | Adobe PDF | View/Open Request a copy |
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