Properties of minimal charts and their applications I

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J. Math. Sci. Univ. Tokyo
Vol. 14 (2007), No. 1, Page 69--97.

Nagase, Teruo ; Shima, Akiko
Properties of minimal charts and their applications I
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Abstract:
We study surface braids using the charts with minimal complexity. We introduce several terminology to describe minimal charts and investigate properties of minimal charts. We shall show that in a minimal chart, there exist at least three white vertices in the interior of any lens.

Mathematics Subject Classification (2000): Primary 57Q45; Secondary 57Q35

Mathematical Reviews Number: MR2320385

Received: 2006-09-26

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