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SUMMARY:Tara Brendle (Glasgow)
DTSTART:20201203T150000Z
DTEND:20201203T153000Z
DTSTAMP:20260423T003239Z
UID:GaTO/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/37/">Th
 e mapping class group of connect sums of \\(S^2 \\times S^1\\)</a>\nby Tar
 a Brendle (Glasgow) as part of Geometry and topology online\n\n\nAbstract\
 n<p>\n        Let \\(M_n\\) denote the connect sum of \\(n\\)\n        cop
 ies of \\(S^2 \\times S^1\\).  Laudenbach showed that the\n        mapping
  class group \\(\\Mod(M_n)\\) is an extension of the group\n        \\(\\O
 ut(F_n)\\) by \\((\\ZZ/2)^n\\)\, where the latter group is the\n        "s
 phere twist" subgroup of \\(\\Mod(M_n)\\).\n      </p>\n      <p>\n       
  We prove that this extension splits.  In this talk\, I will\n        desc
 ribe the splitting and discuss some simplifications of\n        Laudenbach
 's original proof that arise from our techniques.\n      </p>\n      <p>\n
         This is joint work with N. Broaddus and A. Putman.\n      </p>\n
LOCATION:https://researchseminars.org/talk/GaTO/37/
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