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math.GT2022
Integral foliated simplicial volume and ergodic decomposition
Clara Loeh, Giovanni Sartori
We establish an integration formula for integral foliated simplicial volume along ergodic decompositions. This is analogous to the ergodic decomposition formula for the cost of gro…
math.GT2022
The spectrum of simplicial volume with fixed fundamental group
Clara Loeh
We study the spectrum of simplicial volume for closed manifolds with fixed fundamental group and relate the gap problem to rationality questions in bounded (co)homology. In particu…
math.GT2015★ 1 cited
Odd manifolds of small integral simplicial volume
Clara Loeh
Integral simplicial volume is a homotopy invariant of oriented closed connected manifolds, defined as the minimal weighted number of singular simplices needed to represent the fund…