3-braid knots with maximal 4-genus
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Date
2023-03-21
Publication Type
Working Paper
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yes
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Abstract
We classify 3-braid knots whose topological 4-genus coincides with their Seifert genus, using McCoy's twisting method and the Xu normal form. In addition, we give upper bounds for the topological 4-genus of positive and strongly quasipositive 3-braid knots.
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published
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Pages / Article No.
2303.11918
Publisher
Cornell University
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Edition / version
v1
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Subject
Geometric Topology
Organisational unit
09577 - Willwacher, Thomas / Willwacher, Thomas