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arXiv · 1411.1452

Proof of the main conjecture on g-areas

François Lalonde·Egor Shelukhin
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Abstract

In this paper, we prove the main conjecture on $g$-areas that was announced by the first author in 2004. It states that the $g$-area of any Hamiltonian diffeomorphism $ϕ$ is equal to the positive Hofer distance between $ϕ$ and the subspace of Hamiltonian diffeomorphisms that can be expressed as a product of at most $g$ commutators.

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François Lalonde, Egor Shelukhin. 2014-11-06. Proof of the main conjecture on g-areas. https://arxiv.org/abs/1411.1452

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