Higher Divergence Functions for Heisenberg Groups
| Autor: | Gruber, Moritz |
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| Rok vydání: | 2014 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove a Filling Theorem for the Heisenberg Groups $H^{2n+1}$: For a given $k$-cycle $a$ we construct a $(k+1)$-chain $b$ (the filling) with boundary $\partial b=a$ and controlled volume. For this filling $b$ we prove a uniform bound on the distance of points in $b$ to its boundary $a$. Using this we compute the higher divergence functions for the Heisenberg Groups $H^{2n+1}$. Further we generalise these results to the Jet-Groups $J^m(\mathbb R^n)$ for dimension less or equal $n$ . Comment: This paper has been withdrawn by the author due to a crucial error in the proof of the upper bounds in and below dimension n |
| Databáze: | arXiv |
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