Cubical Models for Positive Scalar Curvature

Abstract: The space of all positive scalar curvature metrics $R^+(M)$ has attracted a lot of attention during the last decades. Despite that, (almost) all approaches to gain informations rely heavily on methods coming from index theory. Due to its concordance invariance, we propose another space to study which only encoded concordance information in its nature. We will then present an attempt to factorise the index difference over this space. This project is part of my ongoing Ph.D. thesis and is work in progress.

algebraic topologydifferential geometrygeometric topologyK-theory and homology

Audience: researchers in the topic

Göttingen topology and geometry seminar

Series comments: Our seminar takes place via zoom every Tuesday afternoon (Central European Summer Time; the precise time slot varies—please always refer to the listing).