3 papers
math.KT2025
On equivariant embeddings of G-bundles
Malkhaz Bakuradze, Ralf Meyer
For a compact group G, we give a sufficient condition for embedding one G-equivariant vector bundle into another one and for a stable isomorphism between two such bundles to imply…
math.KT2025
Topological insulators and stable isomorphism versus isomorphism of vector bundles
Ralf Meyer
This note gives an overview of the mathematical framework underlying topological insulators, highlighting the connection to K-theory and vector bundles. We see ``real'' and ``quate…
math.KT2025
Isomorphism and stable isomorphism in "real" and "quaternionic" K-theory
Malkhaz Bakuradze, Ralf Meyer
We find lower bounds on the rank of a "real" vector bundle over an involutive space, such that "real" vector bundles of higher rank have a trivial summand and such that a stable is…