Eilenberg-MacLane mapping algebras and higher distributivity

14 Oct 2016, 10:40
Amphi Haüy ()

Amphi Haüy

Contributed talk Topologie algébrique et applications


Dr Martin Frankland (Universität Osnabrück)


Primary cohomology operations are given by homotopy classes of maps between Eilenberg-MacLane spectra. Composition of such maps is bilinear up to homotopy, but not strictly: it is strictly linear in one variable and linear up to coherent homotopy in the other variable. In joint work with Hans-Joachim Baues, we introduce the notion of weakly bilinear mapping theory to encode this structure. I will describe the higher distributivity laws satisfied by this structure, along with some examples in mod 2 cohomology.

Primary authors

Prof. Hans-Joachim Baues (Max-Planck-Institut für Mathematik) Dr Martin Frankland (Universität Osnabrück)

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