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The naturality in Kirwan's decomposition

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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?

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Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, Philadelphia,¶PA 19104, USA. e-mail: chai@math.upenn.edu, , , , , , US

    Ching-Li Chai

  2. Department of Mathematics, University of Virginia, Charlottesville,¶VA 22903, USA. e-mail: an3r@virginia.edu, , , , , , US

    Amnon Neeman

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  1. Ching-Li Chai
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  2. Amnon Neeman
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Received: 20 March 1997

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Chai, CL., Neeman, A. The naturality in Kirwan's decomposition. manuscripta math. 97, 429–434 (1998). https://doi.org/10.1007/s002290050112

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  • DOI: https://doi.org/10.1007/s002290050112

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