# 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} }

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

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 10 CITATIONS

## On homology cobordism and local equivalence between plumbed manifolds

VIEW 10 EXCERPTS

CITES METHODS & BACKGROUND

## Connected Floer homology of covering involutions

VIEW 6 EXCERPTS

CITES METHODS & BACKGROUND

HIGHLY INFLUENCED

## Heegaard Floer homology and splicing homology spheres

VIEW 1 EXCERPT

CITES BACKGROUND

## Connected Heegaard Floer homology of sums of Seifert fibrations

VIEW 2 EXCERPTS

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 19 REFERENCES

## Involutive Heegaard Floer homology

VIEW 4 EXCERPTS

## On the Floer homology of plumbed three-manifolds

VIEW 19 EXCERPTS

HIGHLY INFLUENTIAL

## On the Ozsvath-Szabo invariant of negative definite plumbed 3-manifolds

VIEW 10 EXCERPTS

HIGHLY INFLUENTIAL

## Holomorphic disks and three-manifold invariants: Properties and applications

VIEW 13 EXCERPTS

HIGHLY INFLUENTIAL

## Holomorphic disks and topological invariants for closed three-manifolds

VIEW 13 EXCERPTS

HIGHLY INFLUENTIAL

## An invariant of plumbed homology spheres

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## The equivalence of two Seiberg-Witten Floer homologies

VIEW 1 EXCERPT