A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Strengthened surgery theorem for positive scalar curvature metrics.
We show that the homotopy type of the space of metrics of positive scalar curvature on a smooth manifold remains unchanged, after application of surgery in codimension at least three to the underlying manifold. This result is originally due to V. Chernysh, but remains unpublished.
Spaces of metrics with invertible Dirac operator are homotopy equivalent for cobordant manifolds.
Study investigates metrics on manifolds with stable curvature conditions.