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The proof of the index conjecture in Hofer geometry | Yasha Savelyev
; | Date: |
13 Apr 2012 | Abstract: | Let $gamma$ be an $S^1$-subgroup in $Ham (M, omega)$ generated by a Morse
Hamiltonian $H$. We give a simple proof of the conjecture stated in
cite{virtmorse}, relating the Morse index of $ gamma$, as a critical point of
the Hofer length functional, with the Conley Zehnder index of the extremizer
$x_{max}$ of $ H$, considered as a periodic orbit of $H$. | Source: | arXiv, 1204.3098 | Services: | Forum | Review | PDF | Favorites |
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