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Topological complexity of 2-torsion lens spaces and ku-(co)homology (1408.3601v2)
Published 15 Aug 2014 in math.AT
Abstract: We use ku-cohomology to determine lower bounds for the topological complexity of 2-torsion lens spaces. In the process, we give an almost-complete description of the tensor product of two copies of the ku-homology of infinite mod 2e lens space, proving a conjecture of Gonzalez about the annihilator ideal of the bottom class. Our proof involves an elaborate row reduction of presentation matrices of arbitrary size.
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