7 papers · 1 filter
Heegaard Floer theory and pseudo-Anosov flows II: Differential and Fried pants
Antonio Alfieri, Chi Cheuk Tsang
In earlier work, relying on work of Agol-Guéritaud and Landry-Minsky-Taylor, we showed that given a pseudo-Anosov flow and a collection of closed orbits satis…
Heegaard Floer theory and pseudo-Anosov flows I: Generators and categorification of the zeta function
Antonio Alfieri, Chi Cheuk Tsang
We bring to light a new connection between dynamics and Heegaard Floer homology. On a closed 3-manifold we consider a pseudo-Anosov flow with no perfect fits with respect t…
Strongly invertible knots, invariant surfaces, and the Atiyah-Singer signature theorem
Antonio Alfieri, Keegan Boyle
We use the G-signature theorem to define an invariant of strongly invertible knots analogous to the knot signature.
Deformations of lattice cohomology and the upsilon invariant
Antonio Alfieri
We introduce deformations of lattice cohomology corresponding to the knot homologies found by Ozsv\' ath, Stipsicz and Szab\' o in \cite{OSS4}. By means of holomorphic triangles co…
Connected Floer homology of covering involutions
Antonio Alfieri, Sungkyung Kang, Andras I. Stipsicz
Using the covering involution on the double branched cover of the three-sphere branched along a knot, and adapting ideas of Hendricks-Manolescu and Hendricks-Hom-Lidman, we define…
An introduction to knot Floer homology and curved bordered algebras
Antonio Alfieri, Jackson Van Dyke
We survey Ozsváth-Szabó's bordered approach to knot Floer homology. After a quick introduction to knot Floer homology, we introduce the relevant algebraic concepts ($\mathcal{A}_\i…