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math.KT2026
-ring structure in differential K-theory
Bo Liu, Xiaonan Ma
We establish the splitting principle for differential K-theory, a refinement of topological K-theory that incorporates geometric data via differential forms. Using this principle,…
math.DG2026
Llarull's theorem on noncompact manifolds with boundary
Bo Liu, Daoqiang Liu
Recently, Zhang \cite{Zh20} and Li-Su-Wang-Zhang \cite{LSWZ24+} generalized Llarull's theorem to the noncompact complete spin manifold. In this paper, we further extend their resul…