5 papers · 1 filter
Naturality in real Heegaard Floer theory
Gary Guth, Ciprian Manolescu
In a previous paper we defined real Heegaard Floer homology, an invariant of three-manifolds equipped with involutions. Here we prove that real Heegaard Floer homology is natural,…
Satellites and telescopes: a concordance formula for bordered Floer homology
Gary Guth, Sungkyung Kang
Given a knot in , its knot Floer completely determines the bordered Floer homology of its complement by a work of Lipshitz--Ozsváth--Thurston. Furthermore, the determinati…
Real sutured Heegaard Floer homology
Fraser Binns, Gary Guth, Yonghan Xiao
We develop a theory of real sutured manifolds and a real Heegaard Floer theory for these manifolds. We develop a notion of real nice diagrams, and prove that our invariant is combi…
Real Heegaard Floer Homology
Gary Guth, Ciprian Manolescu
We define an invariant of three-manifolds with an involution with non-empty fixed point set of codimension ; in particular, this applies to double branched covers over knots. Ou…
Immersed Curves and 4-Manifold Invariants
Jesse Cohen, Gary Guth
For 3-manifolds with torus boundary, the bordered Heegaard Floer invariants of Lipshitz--Ozsváth--Thurston have a geometric interpretation as immersed multi-curves with local syste…