Z_2 actions on complexes with three non-trivial cells

Mahender Singh

doi:10.1016/j.topol.2007.12.008

paper

Z_2 actions on complexes with three non-trivial cells

arXiv:0708.4310 · doi:10.1016/j.topol.2007.12.008

Abstract

In this paper, we study $Z_{2}$ actions on a cell complex X having the cohomology ring isomorphic to that of the wedge sum $P^{2} (n) V S^{3 n}$ or $S^{n} V S^{2 n} V S^{3 n}$ . We determine the possible fixed point sets depending on whether or not X is totally non-homologous to zero in $X_{Z_{2}}$ and give examples realizing the possible cases.

arXiv comment7 pages, appeared in Topology and its Applications

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