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math.AT2026
Moment angle complexes and duality for tight manifolds
Daisuke Kishimoto, Donald Stanley, Carlos Gabriel Valenzuela Ruiz
For a field and a triangulated compact -orientable manifold, consider the homology of the associated Moment-Angle ccomplex …
math.AT2026
Topological complexity sequences of groups
Daisuke Kishimoto, Yuki Minowa
We define the topological complexity sequence of a group as the sequence of topological complexities of its Milnor constructions. This sequence may be regarded as an intrinsic refi…