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arxiv: 1502.02586 · v2 · pith:TJG56H33new · submitted 2015-02-09 · 🧮 math.AT

Some Aspects of Equivariant LS-category

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keywords ls-categoryequivariantsomeboundsaspectscomputeconditionscounterexamples
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We study the lower bounds and upper bounds for LS-category and equivariant LS-category. In particular we compute both invariants for torus manifolds. There are some examples to show the sharpness of conditions in the theorems. Moreover the equivariant LS-category of the product space is discussed and counterexamples of some previous results are given.

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