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SUMMARY:Floer homology and the triangulation conjecture - Ciprian Manolesc
 u\, UCLA
DTSTART:20130531T130000Z
DTEND:20130531T140000Z
UID:TALK45078@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:We define Pin(2)-equivariant Seiberg-Witten Floer homology for
  rational homology 3-spheres equipped with a spin structure. The analogue 
 of Froyshov'’s correction term in this setting is an integer-valued inva
 riant of homology cobordism whose mod 2 reduction is the Rokhlin invariant
 . As an application\, we show that the 3-dimensional homology cobordism gr
 oup has no elements of order 2 that have Rokhlin invariant one. By previou
 s work of Galewski-Stern and Matumoto\, this implies the existence of non-
 triangulable high-dimensional manifolds.
LOCATION:MR13
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