Signed clasp numbers and four-genus bounds

Charles Livingston

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arXiv · 2206.10432

Signed clasp numbers and four-genus bounds

Charles Livingston

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Abstract

There exist knots having positive and negative four-dimensional clasp numbers zero but having four-genus, and hence clasp number, arbitrarily large. Such examples were first constructed by Allison Miller, answering a question of Juhasz-Zemke. Further examples are constructed here, complementing those of Miller in that they include examples that are of infinite order in concordance.

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Charles Livingston. 2022-06-21. Signed clasp numbers and four-genus bounds. https://arxiv.org/abs/2206.10432

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