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| Hlavní autoři: | , |
|---|---|
| Médium: | Preprint |
| Vydáno: |
2020
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| Témata: | |
| On-line přístup: | https://arxiv.org/abs/2004.07385 |
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Obsah:
- Following Haken and Casson-Gordon, it was shown in [Sc] that given a reducing sphere or boundary-reducing disk E in a Heegaard split manifold M, the Heegaard surface T can be isotoped so that it intersects E in a single circle. Here we show that when this is achieved by two different positionings of T, one can be moved to the other by a sequence of 1) isotopies of T rel E 2) pushing a stabilizing pair of T through E and 3) eyegelass twists of T. The last move is inspired by one of Powell's proposed generators for the Goeritz group.