Mathematische Annalen

, Volume 326, Issue 1, pp 147–153 | Cite as

Non-trivial involutions on Floer Homology

  • Olivier Collin


 We construct the first examples of irreducible 3-manifolds with the homology of S1×S2 admitting an involution acting non-trivially on their Floer Homology. The examples are obtained by 0-surgery along certain composite amphicheiral knots whose SU(2)-representation variety satisfies a non-degeneracy condition.


Representation Variety Floer Homology 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Olivier Collin
    • 1
  1. 1.Département de Mathématiques, Université du Québec à Montréal, Montréal, Québec H3C 398, Canada (e-mail:

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