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math.DS2025
Bounded cohomological induction for transverse measured groupoids
Tobias Hartnick, Filippo Sarti
We establish an induction isomorphism in the context of measurable bounded cohomology of discrete measured groupoid, which generalizes the Eckmann-Shapiro isomorphism in bounded co…
math.GT2025
Simplicial volume via foliated simplices and duality
Filippo Sarti
Let be a triangulated oriented closed connected manifold with universal cover and fundamental group and consider an essentially free measure pre…
math.AT2025
Measurable bounded cohomology of -discrete measured groupoids via resolutions
Filippo Sarti, Alessio Savini
We define bounded cohomology of -discrete measured groupoids with coefficients into measurable bundles of Banach spaces. Our approach via homological algebra extends the classic…