Explore the computation of LS-category for specific classes of Seifert fibered manifolds in this 49-minute conference talk. Discover how the topological complexity of these manifolds typically ranges between 6 and 7. Learn about the lower bounds for higher TC in relation to cohomology class weights, and understand why TC_n for most Seifert fibered manifold classes falls between 3n and 3n+1. Delve into advanced concepts in applied algebraic topology and gain insights into the higher topological complexity of these important mathematical structures.