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A unique decomposition theorem for tight contact 3-manifolds

Fan Ding·Hansjörg Geiges
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Abstract

It has been shown by V. Colin that every tight contact 3-manifold can be written as a connected sum of prime manifolds. Here we prove that the summands in this decomposition are unique up to order and contactomorphism.

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Fan Ding, Hansjörg Geiges. 2006-10-09. A unique decomposition theorem for tight contact 3-manifolds. https://arxiv.org/abs/math/0610284

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