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Higher Topological Complexity of Seifert Fibered Manifolds

Offered By: Applied Algebraic Topology Network via YouTube

Tags

Algebraic Topology Courses Mathematical Proofs Courses Cohomology Courses Topological Complexity Courses

Course Description

Overview

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.

Syllabus

Rekha Santhanam (4/27/23): Higher topological complexity of Seifert fibered manifolds


Taught by

Applied Algebraic Topology Network

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