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A plat form presentation for surface-links

Jumpei Yasuda
摘要
It is known that every orientable surface-link can be described as a closed$2$-dimensional braid. In this paper, we introduce a new method of describing asurface-link using a braided surface, which we call a plat form. We prove thatevery surface-link, which is not necessarily orientable, can be described in aplat form. The plat index for a surface-link is defined and discussed.
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