Index theory and Noncommutative Geometry: A Survey
Alexander Gorokhovsky, Erik van Erp
TL;DR
This survey introduces index theory within noncommutative geometry, highlighting its foundational concepts and recent developments, aimed at celebrating Alain Connes' contributions to the field.
Contribution
It provides an accessible overview of index theory's role and progress in noncommutative geometry, emphasizing its significance and recent advances.
Findings
Summarizes key concepts of index theory in noncommutative geometry
Highlights recent developments and open problems in the field
Connects index theory with Alain Connes' foundational work
Abstract
This article is an introductory survey of index theory in the context of noncommutative geometry, written for the occasion of the 70th birthday of Alain Connes.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Geometric and Algebraic Topology · Advanced Operator Algebra Research