3 papers
math.DG2026
Quantitative partitioned index theorem and noncompact band-width
Peter Hochs, Jinmin Wang
Gromov's band-width conjecture gives a precise upper bound for the width of a compact Riemannian band with positive scalar curvature lower bound, assuming that the cross-section of…
math.DG2025
Non-negative scalar curvature on spin surgeries and Novikov conjecture
Jinmin Wang
Let be a closed aspherical manifold. Assume that the rational strong Novikov conjecture holds for . We show that on any spin surgery of along a region whose induced…
math.DG2025
A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities
Milan Jovanovic, Jinmin Wang
We use the Dirac operator method to prove a scalar-mean curvature comparison theorem for spin manifolds which carry iterated conical singularities. Our approach is to study the ind…