Convexity of momentum maps: A topological analysis |
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Authors: | Wolfgang Rump Jenny Santoso |
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Affiliation: | Institute for Algebra and Number Theory, University of Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany |
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Abstract: | The Local-to-Global-Principle used in the proof of convexity theorems for momentum maps has been extracted as a statement of pure topology enriched with a structure of convexity. We extend this principle to not necessarily closed maps f:X→Y where the convexity structure of the target space Y need not be based on a metric. Using a new factorization of f, convexity of the image is proved without local fiber connectedness, and for arbitrary connected spaces X. |
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Keywords: | primary, 52A01, 53C23, 54C10, 53D20 secondary, 54E18 |
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