Complete Intersections with S^1-action
Geometric Topology
2018-01-31 v6
Abstract
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. We also prove that in any odd complex dimension only finitely many complete intersections can carry a smooth effective action by a torus of rank .
Cite
@article{arxiv.1108.5327,
title = {Complete Intersections with S^1-action},
author = {Anand Dessai and Michael Wiemeler},
journal= {arXiv preprint arXiv:1108.5327},
year = {2018}
}
Comments
updated, revised and extended version including a finiteness result for complete intersections with torus actions of rank 2, v5: minor modifications, v6: reference updated, final version, to appear in Transformation Groups