Complete classification of generalized crossing changes between GOF-knots

Kai Ishihara; Matt Rathbun

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arXiv · 1705.06418

Complete classification of generalized crossing changes between GOF-knots

Kai Ishihara·Matt Rathbun

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Abstract

We analyze all monodromies of genus one fibered knots that possess clean or once-unclean arcs, and use this to determine all manifolds containing genus one fibered knots with generalized crossing changes resulting in another genus one fibered knot, and classify all such generalized crossing changes between two genus one, fibered knots.

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Kai Ishihara, Matt Rathbun. 2017-05-18. Complete classification of generalized crossing changes between GOF-knots. https://arxiv.org/abs/1705.06418

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