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Heegaard splittings of branched coverings of ๐‘†ยณ

Heegaard splittings of branched coverings of ๐‘†ยณ

This paper concerns itself with the relationship between two seemingly different methods for representing a closed, orientable 3-manifold: on the one hand as a Heegaard splitting, and on the other hand as a branched covering of the 3-sphere. The ability to pass back and forth between these two representations will โ€ฆ