Simplicial volume and stable commutator length

20.10.2020 15:00 - 17:00

Clara Loeh (Regensburg)

Simplicial volume is a homotopy invariant of manifolds, defined as the "size" of the fundamental class in singular homology. We show how stable commutator length can be used to construct manifolds with controlled simplicial volume; in dimension 4, we can thereby realise every non-negative rational number and also arbitrarily small transcendental numbers as simplicial volumes of closed manifolds. This is based on joint work with Nicolaus Heuer.

G. Arzhantseva, A. Evetts
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