Publikation:

A Non-Fixed Point Theorem for Hamiltonian Lie Group Actions

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preprint_113.pdf
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2000

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Allday, Christopher
Hauschild, Volker

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Using methods from P.A. Smith-theory we prove that an effective Hamiltonian action of a compact connected Lie group G on a symplectic manifold M can not have fixed points under certain conditions relating the cohomology algebra of BG to the cohomology algebra of M. E.g. S2 x ... x S2 does not admit an effective action with fixed points of any non-abelian compact connected Lie group.

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ISO 690ALLDAY, Christopher, Volker HAUSCHILD, Volker PUPPE, 2000. A Non-Fixed Point Theorem for Hamiltonian Lie Group Actions
BibTex
@unpublished{Allday2000NonFi-6453,
  year={2000},
  title={A Non-Fixed Point Theorem for Hamiltonian Lie Group Actions},
  author={Allday, Christopher and Hauschild, Volker and Puppe, Volker}
}
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