Topology Seminar: Martin Frankland

  • Date: 12/06/2018
  • Time: 11:30
Martin Frankland, University of Regina

University of British Columbia


The DG-category of secondary cohomology operations


In joint work with Hans-Joachim Baues, we study track categories (i.e., groupoid-enriched categories) endowed with additive structure similar to that of a 1-truncated DG-category, except that composition is not assumed right linear. We show that if such a track category is right linear up to suitably coherent correction tracks, then it is weakly equivalent to a 1-truncated DG-category. This generalizes work of Baues on the strictification of secondary cohomology operations. As an application, we show that the secondary integral Steenrod algebra is strictifiable.

Other Information: 

ESB 4133 (PIMS Lounge)