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math.QA2025
A non-semisimple Kitaev lattice model
Sebastian Halbig, Ulrich Krähmer
The construction of the topologically protected code space of Kitaev's model for fault-tolerant quantum computation is extended from complex semisimple to arbitrary finite-dimensio…
math.CT2025
Duplicial functors, descent categories and generalized Hopf modules
Ivan Bartulović, John Boiquaye, Ulrich Krähmer
Böhm and Ştefan have expressed cyclic homology as an invariant that assigns homology groups to right and left coalgebras respect…