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SUMMARY:Laudenbach’s sequence for mapping class groups of connect sums o
 f S^2 x S^1 - Tara Brendle (University of Glasgow)
DTSTART:20220429T124500Z
DTEND:20220429T134500Z
UID:TALK173120@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:Let Mn denote the connect sum of n copies of S^2 x S^1\, and l
 et 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 Ou
 t(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 trivia
 lization of TM_n.  This is joint work with Nathan Broaddus and Andrew Putm
 an.
LOCATION:Zoom
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