The naturality in Kirwan's decomposition |
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| Authors: | Ching-Li Chai Amnon Neeman |
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| Institution: | Department of Mathematics, University of Pennsylvania, Philadelphia,?PA 19104, USA. e-mail: chai@math.upenn.edu, US
Department of Mathematics, University of Virginia, Charlottesville,?VA 22903, USA. e-mail: an3r@virginia.edu, US
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| Abstract: | Let X be a compact symplectic manifold, K a compact group acting symplectically on X, and assume there is a moment map. In 3], Kirwan defined a stratification on X, and showed that the associated spectral sequence degenerates. In this note, we ask whether this degeneration comes from
a stable splitting of X into Thom spaces on the strata. One can also ask a related arithmetic question. Is it true that the splitting Kirwan discovered
respects the action of Galois groups?
Received: 20 March 1997 |
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