Geometric construction of classes in van Daele’s K-theory
2023 | journal article. A publication with affiliation to the University of Göttingen.
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Details
- Authors
- Joseph, Collin Mark; Meyer, Ralf
- Abstract
- 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.
- Issue Date
- 2023
- Journal
- Journal of Mathematical Physics
- Organization
- Mathematisches Institut
- ISSN
- 0022-2488; 1089-7658
- Language
- English