A Non-Fixed Point Theorem for Hamiltonian Lie Group Actions

Allday, Christopher; Hauschild, Volker; Puppe, Volker

A Non-Fixed Point Theorem for Hamiltonian Lie Group Actions

Dateien

preprint_113.pdfGröße: 253.73 KBDownloads: 211

Datum

2000

Autor:innen

Allday, Christopher

Hauschild, Volker

Puppe, Volker

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

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.

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

ALLDAY, 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@unpublished{Allday2000NonFi-6453,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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