Persistent Stiefel-Whitney Classes

Explore persistent Stiefel-Whitney classes in this one-hour lecture from the Applied Algebraic Topology Network. Delve into an advanced topic in algebraic topology that extends beyond persistent homology. Learn how to estimate Stiefel-Whitney classes of vector bundles using a persistent approach, given finite samples. Understand the significance of these topological invariants and how they provide more information than cohomology groups alone. Examine the challenges of estimating topological features from finite samples of C^2-submanifolds or positive-reach subsets in Euclidean space. Gain insights into the application of persistent methods to complex topological structures and their potential impact on the field of applied algebraic topology.