boundary conditions 1counterexample 1dirac operators 1gromov conjecture 1index theory 1manifolds with corners 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Remarks on the paper "On Gromov's dihedral extremality and rigidity conjectures" by Jinmin Wang, Zhizhang Xie and Guoliang Yu
Christian Baer, Bernhard Hanke, Thomas Schick
The authors present a counterexample to an index calculation used in a recent paper on self‑adjoint extensions of Dirac‑type operators on manifolds with corners, showing that the c…
math.GT2025
Combinatorial zeta functions counting triangles
Léo Bénard, Yann Chaubet, Nguyen Viet Dang +1
In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n-1)-skeleton of a triangulation of a n-dimensional manifold. We sh…
math.KT2025
Mapping analytic surgery to homology, higher rho numbers and metrics of positive scalar curvature
Paolo Piazza, Thomas Schick, Vito Felice Zenobi
Let be a f.g. discrete group and let be a Galois -covering of a smooth closed manifold . Let be the analytic structure group, appearing i…