AbstractStrata of meromorphic $1$-forms are endowed with the atlas of period coordinates given by the periods of the differential on arcs joining the $n$ zeroes of the differential. Fixing the periods on absolute homology classes defines the isoperiodic foliation.Isoperiodic leaves are complex manifolds of dimension $n-1$ endowed with a translation structure inherited from the period atlas of t...
AbstractWe introduce an quantum entropy for bimodule quantum channels on finite von Neumann algebras, generalizing the remarkable Pimsner-Popa entropy. The relative entropy for Fourier multipliers of bimodule quantum channels establishes an upper bound of the quantum entropy. Additionally, we present the Araki relative entropy for bimodule quantum channels, revealing its equivalence to the rela...