压缩体中极小的本质非扩展极大平环组(英文)

Minimal maximal collections of non-spanning essential annuli in a compression body

本文主要结果是证明了一个压缩体g(+C)≥3中极小的本质非扩展极大平环组恰包含两个平环.这推广了亏格大于2的柄体中相应的一个结果.

The main result of the paper says that a minimal maximal collection of essential non-spanning annuli in a non-trivial compression body C with g（δ ＋ C） ≥3 contains exactly two annuli.This extends a similar result in a handlebody of genus ≥ 2.