461 research outputs found

    On an algebraic formula and applications to group action on manifolds

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    We consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound of the number of fixed points. We also give an obstruction to the existence of Zp\mathbb{Z}_p action on manifolds with isolated fixed points when pp is a prime.Comment: 7 pages, revised slightly to update a new reference and reassign the credit of the idea in this not