A variant of Roe algebras for spaces with cylindrical ends with applications in relative higher index theory

DOI10.4171/JNCG/457zbMath1502.19006arXiv2003.07993WikidataQ114021470 ScholiaQ114021470MaRDI QIDQ2080303

Mehran Seyedhosseini

Publication date: 7 October 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07993

zbMATH Keywords

positive scalar curvaturehigher index theorymanifolds with boundaryrho-invariantsRoe algebrasmanifolds with cylindrical ends

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Index theory (19K56)

Related Items (1)

Relative torsion and bordism classes of positive scalar curvature metrics on manifolds with boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Higher rho invariants and the moduli space of positive scalar curvature metrics
• On the range of the relative higher index and the higher rho-invariant for positive scalar curvature
• Localization algebras and the coarse Baum-Connes conjecture
• Positive scalar curvature and a new index theory for noncompact manifolds
• Positive scalar curvature and product formulas for secondary index invariants
• A coarse Mayer–Vietoris principle
• On the localization algebra of Guoliang Yu
• Relative geometric assembly and mapping cones, part I: the geometric model and applications
• Positive Curvature, Partial Vanishing Theorems and Coarse Indices
• On an Index Theorem of Chang, Weinberger and Yu
• Codimension two index obstructions to positive scalar curvature

This page was built for publication: A variant of Roe algebras for spaces with cylindrical ends with applications in relative higher index theory