Topological complexity of 2-torsion lens spaces and ku-(co)homology
arXiv:1408.3601
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.
Minor corrections. This version will appear in Morfismos volume honoring Sam Gitler