Geodesic
FREE ACTIONS OF SOME COMPACT GROUPS ON MILNOR MANIFOLDS
Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 727-742

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DOI

In this paper, we investigate free actions of some compact groups on cohomology real and complex Milnor manifolds. More precisely, we compute the mod 2 cohomology algebra of the orbit space of an arbitrary free Z2 and $\mathbb{S}^1$-action on a compact Hausdorff space with mod 2 cohomology algebra of a real or a complex Milnor manifold. As applications, we deduce some Borsuk–Ulam type results for equivariant maps between spheres and these spaces. For the complex case, we obtain a lower bound on the Schwarz genus, which further establishes the existence of coincidence points for maps to the Euclidean plane. 
DEY, PINKA; SINGH, MAHENDER. FREE ACTIONS OF SOME COMPACT GROUPS ON MILNOR MANIFOLDS. Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 727-742. doi: 10.1017/S0017089518000484
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     author = {DEY, PINKA and SINGH, MAHENDER},
     title = {FREE {ACTIONS} {OF} {SOME} {COMPACT} {GROUPS} {ON} {MILNOR} {MANIFOLDS}},
     journal = {Glasgow mathematical journal},
     pages = {727--742},
     year = {2019},
     volume = {61},
     number = {3},
     doi = {10.1017/S0017089518000484},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000484/}
}
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