Abstract
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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Young, R. High-Dimensional Fillings in Heisenberg Groups. J Geom Anal 26, 1596–1616 (2016). https://doi.org/10.1007/s12220-015-9601-y
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DOI: https://doi.org/10.1007/s12220-015-9601-y