Involutive Heegaard Floer homology and plumbed three-manifolds
Abstract
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 in the three-dimensional homology cobordism group.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2017
- DOI:
- 10.48550/arXiv.1704.02020
- arXiv:
- arXiv:1704.02020
- Bibcode:
- 2017arXiv170402020D
- Keywords:
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- Mathematics - Geometric Topology;
- 57R58 (Primary);
- 57M27 (Secondary)
- E-Print:
- 35 pages