A note on the four-dimensional clasp number of knots

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Among the knots that are the connected sum of two torus knots with cobordism distance 1, we characterise those that have 4-dimensional clasp number at least 2, and we show that their n-fold connected self-sum has 4-dimensional clasp number at least 2n. Our proof works in the topological category. To contrast this, we build a family of topologically slice knots for which the n-fold connected self-sum has 4-ball genus n and 4-dimensional clasp number at least 2n.
Publisher
CAMBRIDGE UNIV PRESS
Issue Date
2022-07
Language
English
Article Type
Article
Citation

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v.173, no.1, pp.213 - 226

ISSN
0305-0041
DOI
10.1017/S0305004121000529
URI
http://hdl.handle.net/10203/297030
Appears in Collection
MA-Journal Papers(저널논문)
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