Department of Mathematics

Geometry and Topology

  •  The Extended Bogomolny Equations and Teichmuller space
  •  01/25/2018
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall
  •  Siqi He, Caltech

We will discuss Witten’s gauge theory approach to Jones polynomial and Khovanov homology by counting solutions to some gauge theory equations with singular boundary conditions. When we reduce these equations to 3-dimensional, we call them the extended Bogomolny equations. We will discuss a Donaldson-Ulenbeck-Yau type correspondence of the moduli space of the singular solutions to the Extended Bogomolny equations and Teichmuller space. If time permits, we will also discuss the relationship of the singular solutions moduli space with higher Teichmuller theory. This is joint work with Rafe Mazzeo.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science