Scl gaps in graph of groups and 3-manifolds

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• Nicolaus Heuer (University of Cambridge)
• Friday 01 November 2019, 13:45-14:45
• CMS, MR13.

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The stable commutator length of an element g in a group G is a well studied invariant in geometric group theory. Many classes of negatively curved groups have a gap in stable commutator length. This can be seen as an algebraic thick-thin decomposition.

In this talk I discuss new gap results for graph of groups. By applying JSJ decomposition we deduce that 3-manifolds have a gap in stable commutator length.

This is joint work with Lvzhou Chen (University of Chicago).

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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