A Remark on Topological Charges over the Fuzzy Sphere
Harald Grosse, Christian W. Rupp
TL;DR
This paper calculates the topological charges of projective modules over the fuzzy sphere, revealing corrections due to noncommutative geometry compared to the classical case.
Contribution
It provides explicit computation of Chern characters and topological charges for modules over the fuzzy sphere, highlighting noncommutative effects.
Findings
Topological charges have corrections from noncommutative structure.
Explicit formulas for Chern characters on the fuzzy sphere.
Differences from classical topological invariants.
Abstract
We determine the Chern characters of two projective modules over the fuzzy sphere and calculate the corresponding topological charges (Chern numbers). These turn out to have corrections - compared to the commutative limit - induced by the noncommutative structure of the three coordinates.
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 · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology