467 research outputs found
On an algebraic formula and applications to group action on manifolds
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
action on manifolds with isolated fixed points when is a
prime.Comment: 7 pages, revised slightly to update a new reference and reassign the
credit of the idea in this not
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