Involutions whose fixed set has three or four components: a small codimension phenomenon

@article{Barbaresco2012InvolutionsWF,
  title={Involutions whose fixed set has three or four components: a small codimension phenomenon},
  author={Evelin Meneguesso Barbaresco and P. E. Desideri and P. Pergher},
  journal={Mathematica Scandinavica},
  year={2012},
  volume={110},
  pages={223-234}
}
Let $T:M \to M$ be a smooth involution on a closed smooth manifold and $F = \bigcup_{j=0}^n F^j$ the fixed point set of $T$, where $F^j$ denotes the union of those components of $F$ having dimension $j$ and thus $n$ is the dimension of the component of $F$ of largest dimension. In this paper we prove the following result, which characterizes a small codimension phenomenon: suppose that $n \ge 4$ is even and $F$ has one of the following forms: 1) $F=F^n \cup F^3 \cup F^2 \cup \{{\operatorname… Expand
3 Citations

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