A ug 2 00 3 Commutator length of symplectomorphisms

@inproceedings{Entov2008AU2,
  title={A ug 2 00 3 Commutator length of symplectomorphisms},
  author={Michael Entov},
  year={2008}
}
  • Michael Entov
  • Published 2008
Each element x of the commutator subgroup [G,G] of a group G can be represented as a product of commutators. The minimal number of factors in such a product is called the commutator length of x. The commutator length of G is defined as the supremum of commutator lengths of elements of [G,G]. We show that for certain closed symplectic manifolds (M,ω), including complex projective spaces and Grassmannians, the universal cover H̃am (M,ω) of the group of Hamiltonian symplectomorphisms of (M,ω) has… CONTINUE READING

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