A non-fixed point theorem for Hamiltonian lie group actions |
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| Authors: | Christopher Allday Volker Hauschild Volker Puppe |
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| Institution: | Department of Mathematics, University of Hawaii at Manoa, Honolulu, Hawaii 96822-2273 ; Department of Mathematics, University of Calabria, I-87036 Rende, Italy ; Faculty of Mathematics, University of Konstanz, D-78457 Konstanz, Germany |
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| Abstract: | We prove that, under certain conditions, if a compact connected Lie group acts effectively on a closed manifold, then there is no fixed point. Because two of the main conditions are satisfied by any Hamiltonian action on a closed symplectic manifold, the theorem applies nicely to such actions. The method of proof, however, is cohomological; and so the result applies more generally. |
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| Keywords: | Compact connected Lie group actions Hamiltonian actions fixed points cohomology theory |
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