2022arXiv (Cornell University)Open access

Flipping Heegaard splittings of Seifert fibered spaces

Jennifer Schultens

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Abstract

A Heegaard splitting of a $3$-manifold is flippable if there is an isotopy that interchanges the two sides of the Heegaard splitting. We explore which Heegaard splittings of Seifert fibered spaces are flippable.

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A Heegaard splitting of a $3$-manifold is flippable if there is an isotopy that interchanges the two sides of the Heegaard splitting. We explore which Heegaard splittings of Seifert fibered spaces are flippable.

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Available abstract

A Heegaard splitting of a $3$-manifold is flippable if there is an isotopy that interchanges the two sides of the Heegaard splitting. We explore which Heegaard splittings of Seifert fibered spaces are flippable.

Key concepts: Fibered knot, Heegaard splitting, Isotopy, Mathematics, Pure mathematics, Manifold (fluid mechanics), Combinatorics, Engineering

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