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Higher Abelian Quantum Double Models
Jorge Acuña Flores, Giuseppe De Nittis, Javier Lorca Espiro
This paper develops a rigorous -algebraic framework for higher abelian quantum double models, generalizing Kitaev's construction to simplicial complexes of arbitrary finite di…
math-ph2025
Hilbert Grassmannians as classifying spaces
Giuseppe De Nittis, Kiyonori Gomi, Santiago G. Rendel
In this short work we prove that the Hilbert Grassmannians endowed with the weak topology are models for the classifying spaces of the unitary groups. As application of this result…