The Decomposition Theorem and moduli spaces of vector bundles
Szenes AndrásAGDT Seminar
on 2/28/25
Abstract: Manifolds have often been studied by analytic methods involving Morse functions. By considering a wider and more irregular class of functions, one might gain new insight into the structure of the manifold under scrutiny. We introduce continuous selections of smooth functions, which generically provide a stratification of their domain. We show some examples of stratifications for low dimensional manifolds and discuss possibilities for further investigation.