Le-Greuel Type Formulas on Stratified Spaces

Explore a mathematical lecture that delves into extending the Le-Greuel formula for Milnor numbers beyond its classical setup to function germs on reduced complex analytic spaces. Learn about topological definitions of counterparts to μ(f) based on Nash modification and their relationships to homological indices through local Riemann-Roch-type formulas. Discover how these theoretical concepts can be practically applied using computer algebra for concrete calculations. The discussion centers on function germs f: (X, 0) → (C^k, 0) on arbitrary reduced complex analytic spaces with Whitney stratification and isolated singularities in the stratified sense, utilizing Tibar's Handlebody Theorem as a foundational approach.