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arXiv · 1408.3601

Topological complexity of 2-torsion lens spaces and ku-(co)homology

Donald M. Davis
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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 2^e 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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Donald M. Davis. 2014-08-15. Topological complexity of 2-torsion lens spaces and ku-(co)homology. https://arxiv.org/abs/1408.3601

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