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SUMMARY:Scott Taylor (Colby)
DTSTART:20200728T153000Z
DTEND:20200728T160000Z
DTSTAMP:20260423T003302Z
UID:GaTO/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/21/">Eq
 uivariant Heegaard genus of reducible three-manifolds</a>\nby Scott Taylor
  (Colby) as part of Geometry and topology online\n\n\nAbstract\n<p>\n     
    Suppose that \\(M\\) is a closed\, connected\,\n        oriented three-
 manifold which comes with a group action by a\n        finite group of (or
 ientation preserving) diffeomorphisms.\n        The <i>equivariant Heegaar
 d genus</i> of \\(M\\) is then the\n        minimal genus of an equivarian
 t Heegaard surface.  The\n        equivariant sphere theorem\, together wi
 th recent work of\n        Scharlemann\, suggests that equivariant Heegaar
 d genus might be\n        additive under equivariant connected sum\, while
  analogies with\n        tunnel number suggest it should not be.\n      </
 p>\n      <p>\n        I will describe some examples showing that equivari
 ant\n        Heegaard genus can be sub-additive\, additive\, or\n        s
 uper-additive.  Building on recent work with Tomova\, I’ll\n        sket
 ch machinery that gives rise both to sharp bounds on the\n        addivity
  of equivariant Heegaard genus and to a closely\n        related invariant
  that is in fact additive.\n      </p>\n
LOCATION:https://researchseminars.org/talk/GaTO/21/
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