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The Kakimizu complex of a link

Abstract:

We study Seifert surfaces for links, and in particular the Kakimizu complex MS(L) of a link L, which is a simplicial complex that records the structure of the set of taut Seifert surfaces for L.

First we study a connection between the reduced Alexander polynomial of a link and the uniqueness of taut Seifert surfaces. Specifically, we reprove and extend a particular case of a result of Juhasz, using very different methods, showing that if a non-split homogeneous link has a reduced Ale...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Lincoln College
Role:
Author

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Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2012
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:d89d46a3-03f0-4a71-a746-8f024f988f63
Local pid:
ora:6355
Deposit date:
2012-07-11

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