Doubles of Gluck twists: a five dimensional approach

David Gabai; Patrick Naylor; Hannah Schwartz

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arXiv · 2307.06388

Doubles of Gluck twists: a five dimensional approach

David Gabai·Patrick Naylor·Hannah Schwartz

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Abstract

Using a 5-dimensional perspective, we balance algebraic and geometric handle cancellation to show that doubles of Gluck twists of certain 2-spheres with two minima are standard. This includes all 2-spheres which are unions of ribbon discs, one of which has undisking number one. As an application, we produce new examples of Schoenflies balls not known to be standard.

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David Gabai, Patrick Naylor, Hannah Schwartz. 2023-07-12. Doubles of Gluck twists: a five dimensional approach. https://arxiv.org/abs/2307.06388

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