Geometric construction of classes in van Daele's K-theory

Autor: Joseph, Collin Mark, Meyer, Ralf
Rok vydání: 2022
Předmět:
Zdroj: J. Math. Phys. 64 (2023), Paper No. 053504
Druh dokumentu: Working Paper
DOI: 10.1063/5.0136854
Popis: 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.
Databáze: arXiv