Involutive Heegaard Floer homology and plumbed three-manifolds

@inproceedings{Dai2017InvolutiveHF,
  title={Involutive Heegaard Floer homology and plumbed three-manifolds},
  author={Irving Dai and Ciprian Manolescu},
  year={2017}
}
  • Irving Dai, Ciprian Manolescu
  • Published 2017
  • Mathematics
  • We compute the involutive Heegaard Floer homology of the family of three-manifolds obtained by plumbings along almost-rational graphs. (This includes all Seifert fibered homology spheres.) We also study the involutive Heegaard Floer homology of connected sums of such three-manifolds, and explicitly determine the involutive correction terms in the case that all of the summands have the same orientation. Using these calculations, we give a new proof of the existence of an infinite-rank subgroup… CONTINUE READING

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