High-dimensional fillings in Heisenberg groups
classification
🧮 math.GR
keywords
heisenbergcyclesgroupshigh-dimensionalapproximatedcalculateconjecturedehn
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We use intersections with horizontal manifolds to show that high-dimensional cycles in the Heisenberg group can be approximated efficiently by simplicial cycles. This lets us calculate all of the higher-order Dehn functions of the Heisenberg groups, thus proving a conjecture of Gromov.
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