Topology Seminar: Keegan Boyle

  • Date: 11/21/2018
  • Time: 14:45
Keegan Boyle, University of Oregon

University of British Columbia


Constructing a Smith-type inequality in knot Floer homology


A Smith inequality refers to a rank inequality between the homology of a space with a G action and the homology of its fixed set. In the case of G = Z/2, I will discuss an analog of this statement for the Knot Floer homology of periodic knots, including a conjectural filtered refinement. These inequalities appear to give new restrictions on the Alexander polynomials of periodic alternating and periodic L-space knots.

Other Information: 

Location: ESB 4133 (PIMS lounge)