Simplifying branched covering surface-knots by an addition of 1-handles with chart loops
| Autor: | Nakamura, Inasa |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | J. Knot Theory Ramifications Vol. 27, No. 5 (2018) 1850031 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0218216518500311 |
| Popis: | A branched covering surface-knot over an oriented surface-knot $F$ is a surface-knot in the form of a branched covering over $F$. A branched covering surface-knot over $F$ is presented by a graph called a chart on a surface diagram of $F$. For a branched covering surface-knot, an addition of 1-handles equipped with chart loops is a simplifying operation which deforms the chart to the form of the union of free edges and 1-handles with chart loops. We investigate properties of such simplifications. Comment: 26 pages, 15 figures, title changed, minor modifications, to appear in J. Knot Theory Ramifications |
| Databáze: | arXiv |
| Externí odkaz: |
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