Gluck twist and unknotting of satellite $2$-knots
| Autor: | Kim, Seungwon |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we show that the Gluck twist of certain satellite $2$-knots in a $4$-manifold do not change the diffeomorphism type in three different ways: one is directly from the definition of the satellite $2$-knot, and the other two are by finding an equivalent description of the satellite $2$-knot. Furthermore, using the new description, we gave infinite number of new examples of $2$-knots which are unknotted by connected summing a single standard real projective plane. Comment: 13 pages, 12 figures, Comments welcome! |
| Databáze: | arXiv |
| Externí odkaz: |
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