From the 1 of 6 linked papers with an AI index.
6 papers
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,…
Real sutured Heegaard Floer homology
Fraser Binns, Gary Guth, Yonghan Xiao
The paper introduces a theory of real sutured manifolds and defines a real Heegaard Floer homology invariant for them, showing it can be computed combinatorially and has structural…
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 determinat…
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…
Ribbon Homology Cobordisms and Link Floer Homology
Gary Guth
We make use of link Floer homology to study cobordisms between links embedded in 4-dimensional ribbon homology cobordisms. Combining results of Daemi--Lidman--Vela-Vick--Wong and Z…
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 syst…