USA Topology Seminar

Frobenius Modules and Essential Surface Cobordisms

Scott Carter, University of South Alabama

Details
Friday, September 4, 2009  
  ILB 370
  1:00-2:00 pm  

Abstract An algebraic system is proposed that represents surface cobordisms in thickened surfaces. Module and comodule structures over Frobenius algebras are used for representing essential curves. The proposed structure gives a unified algebraic view of states of categorified Jones polynomials in thickened surfaces and virtual knots. Constructions of such systems are presented. (Joint with Masahico Saito)