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Circle actions with two fixed points

We prove that if the circle group acts smooth and unitary on 2n-dimensional stably complex manifold with two isolated fixed points and it is not bound equivariantly, then n=1 or 3. Our proof relies on the rigid Hirzebruch genera.

preprint2015arXivOpen access

Oleg R. Musin

math.AT math.GT

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Oleg R. Musin

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