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math.AT2008
Cohomology algebra of the orbit space of some free actions on spaces of cohomology type (a, b)
Hemant Kumar Singh, Tej Bahadur Singh
Let X be a finitistic space with non-trivial cohomology groups H^in(X;Z)=Z with generators v_i, where i = 0, 1, 2, 3. We say that X has cohomology type (a, b) if v_1^2 = av_2 and v…
math.AT2008★ 1 cited
Cohomology algebra of the orbit space of free circle group actions on lens spaces
Hemant Kumar Singh, Tej Bahadur Singh
Suppose that G=S^1 acts freely on a finitistic space X whose mod p cohomology ring isomorphic to that of a lens space L^{2m-1}(p;q_1,...,q_m). In this paper, we determine the mod p…