Complete Intersections with S^1-action

Details Complete Intersections with S^1-action Complete Intersections with S^1-action

2011-08-26

arxiv.org/abs/1108.5327v3

Mathematics

Geometric Topology

v2: some typos corrected, some arguments simplified. The new version includes a remark on the sharpness of the conditions give

Scientific paper

We give the diffeomorphism classification of complete intersections with
S^1-symmetry in dimension less than or equal to 6. In particular, we show that
a 6-dimensional complete intersection admits a smooth non-trivial S^1-action if
and only if it is diffeomorphic to the complex projective space or the quadric.

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