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A proof of Kosniowski conjecture
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classification
math.GTmath.AT
keywords
conjecturekosniowskiaffirmativeanswerboundarycharacteristiceulerfixed
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abstract
Let $M$ be a unitary $S^1$-manifold with only isolated fixed points such that $M$ is not a boundary. We show that $4\chi(M)>\dim M$, where $\chi(M)$ is the Euler characteristic of $M$. This gives an affirmative answer of Kosniowski conjecture.
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