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Distortion of surfaces in 3‐manifolds
Journal of Topology ( IF 1.1 ) Pub Date : 2019-06-17 , DOI: 10.1112/topo.12114
Hoang Thanh Nguyen 1
Affiliation  

Let g : S N be a properly immersed π 1 ‐injective surface in a non‐geometric 3‐manifold N . We compute the distortion of π 1 ( S ) in π 1 ( N ) and show that how it is related to separability of π 1 ( S ) in π 1 ( N ) . The only possibility of the distortion is linear, quadratic, exponential, and double exponential.

中文翻译:

3个流形的曲面变形

G 小号 ñ 正确沉浸 π 1个 非几何3流形中的喷射面 ñ 。我们计算失真 π 1个 小号 π 1个 ñ 并表明它与分离度的关系 π 1个 小号 π 1个 ñ 。失真的唯一可能性是线性,二次,指数和双指数。
更新日期:2019-06-17
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