# A distance for circular Heegaard splittings

@article{Lamb2019ADF, title={A distance for circular Heegaard splittings}, author={Kevin Lamb and Patrick Weed}, journal={Journal of Knot Theory and Its Ramifications}, year={2019} }

For a knot [Formula: see text], its exterior [Formula: see text] has a singular foliation by Seifert surfaces of [Formula: see text] derived from a circle-valued Morse function [Formula: see text]. When [Formula: see text] is self-indexing and has no critical points of index 0 or 3, the regular levels that separate the index-1 and index-2 critical points decompose [Formula: see text] into a pair of compression bodies. We call such a decomposition a circular Heegaard splitting of [Formula: see…

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