Involutive Heegaard Floer homology and plumbed threemanifolds
Abstract
We compute the involutive Heegaard Floer homology of the family of threemanifolds obtained by plumbings along almostrational graphs. (This includes all Seifert fibered homology spheres.) We also study the involutive Heegaard Floer homology of connected sums of such threemanifolds, 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 infiniterank subgroup in the threedimensional homology cobordism group.
 Publication:

arXiv eprints
 Pub Date:
 April 2017
 arXiv:
 arXiv:1704.02020
 Bibcode:
 2017arXiv170402020D
 Keywords:

 Mathematics  Geometric Topology;
 57R58 (Primary);
 57M27 (Secondary)
 EPrint:
 35 pages