Geometric construction of classes in van Daele's K-theory Article Swipe
Related Concepts
Torus
SPHERES
Mathematics
Pure mathematics
Theoretical physics
Topology (electrical circuits)
Physics
Geometry
Combinatorics
Astronomy
Collin Mark Joseph
,
Ralf Meyer
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2211.16245
· OA: W4310513354
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2211.16245
· OA: W4310513354
We describe explicit generators for the "real" K-theory of "real" spheres in van Daele's picture. Pulling these generators back along suitable maps from tori to spheres produces a family of Hamiltonians used in the physics literature on topological insulators. We compute their K-theory classes geometrically, based on wrong-way functoriality of K-theory and the geometric version of bivariant K-theory, which we extend to the "real" case.
Related Topics
Finding more related topics…