2014
DOI: 10.1007/s40590-014-0019-5
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Complex-projective and lens product spaces

Abstract: Abstract. Let t be a positive integer. Following work of D. M. Davis, we study the topology of complex-projective product spaces, i.e. quotients of cartesian products of odd dimensional spheres by the diagonal S 1 -action, and of the t-torsion lens product spaces, i.e. the corresponding quotients when the action is restricted to the t th roots of unity. For a commutative complex-oriented cohomology theory h * , we determine the h * -cohomology ring of these spaces (in terms of the t-series for h * , in the cas… Show more

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