Laudenbach’s sequence for mapping class groups of connect sums of S^2 x S^1

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• Tara Brendle (University of Glasgow)
• Friday 29 April 2022, 13:45-14:45
• Zoom.

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Let Mn denote the connect sum of n copies of S^{2 x S}1, and let Mod(M_n) denote its mapping class group. A theorem of Laudenbach from 1973 gives a short exact sequence realizing Mod(M_n) as an extension of Out(F_n) by (Z/2)^n. In this talk we will show that Laudenbach’s sequence splits, with Out(F_n) embedded in Mod(M_n) as the stabilizer of a trivialization of TM_n. This is joint work with Nathan Broaddus and Andrew Putman.

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

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