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

Autor:	Collin Mark Joseph, Ralf Meyer
Rok vydání:	2023
Předmět:	Mathematics - K-Theory and Homology FOS: Mathematics K-Theory and Homology (math.KT) Statistical and Nonlinear Physics Mathematical Physics
Zdroj:	Journal of Mathematical Physics. 64
ISSN:	1089-7658 0022-2488
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 the wrong-way functoriality of K-theory and the geometric version of bivariant K-theory, which we extend to the “real” case.
Databáze:	OpenAIRE
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