Topology Seminar: Clover May

  • Date: 03/21/2018
  • Time: 15:15
Clover May, University of Oregon

University of British Columbia


A structure theorem for RO(C_2)-graded cohomology


Computations in RO(G)-graded Bredon cohomology can be challenging and are not well understood, even for G=C_2, the cyclic group of order two. In this talk I will present a structure theorem for RO(C_2)-graded cohomology with constant Z/2 coefficients that substantially simplifies computations. The structure theorem says the cohomology of any finite C_2-CW complex decomposes as a direct sum of two basic pieces: shifted copies of the cohomology of a point and shifted copies of the cohomologies of spheres with the antipodal action. I will give some examples and sketch the proof, which depends on a Toda bracket calculation.

Other Information: 

Time and location: ESB 4133
Wed 21 Mar 2018, 3:15pm-4:15pm