Higher invariants in noncommutative geometry

2019/05/29 by Zhizhang Xie, Guoliang Yu, Xie, Zhizhang +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.KT #math.OA

paper · pdf · doi:10.48550/arxiv.1905.12632

To appear in the special volume dedicated to Alain Connes' 70th birthday. arXiv admin note: text overlap with arXiv:1310.1136, arXiv:1905.12427

arxiv created 2019/05/29 · arxiv updated 2019/05/31

Abstract

We give a survey on higher invariants in noncommutative geometry and their applications to differential geometry and topology.

Citations

• Higher rho invariants and the moduli space of positive scalar curvature metrics

Related

• Generalized symmetry in noncommutative (complex) geometry
• Lectures on Noncommutative Geometry
• Noncommutative complex differential geometry
• Noncommutative geometry through monoidal categories I
• Noncommutative residue, conformal invariants and lower dimensional volumes in Riemannian geometry