3-manifold groups have unique asymptotic cones
classification
🧮 math.GR
math.MG
keywords
asymptoticconesmanifoldbilipschitzequivalentgroupscombiningconsequence
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We describe the (minimal) tree-graded structure of asymptotic cones of non-geometric graph manifold groups, and as a consequence we show that all said asymptotic cones are bilipschitz equivalent. Combining this with geometrization and other known results we obtain that all asymptotic cones of a given 3-manifold group are bilipschitz equivalent.
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