On naturality of the Ozsváth-Szabó contact invariant
DOI10.2140/obs.2022.5.123zbMath1522.57032arXiv2103.06396MaRDI QIDQ6165129
Matthew Hedden, Lev Tovstopyat-Nelip
Publication date: 31 July 2023
Published in: Open Book Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.06396
contact structurecontactomorphismfunctorialityHeegaard Floer homologycontact invariantnaturalitySteinWeinstein
Symplectic manifolds (general theory) (53D05) Contact manifolds (general theory) (53D10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Contact structures in 3 dimensions (57K33) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18) Symplectic structures in 4 dimensions (57K43)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinitely many universally tight torsion free contact structures with vanishing Ozsváth-Szabó contact invariants
- Naturality of the contact invariant in monopole Floer homology under strong symplectic cobordisms
- On the contact class in Heegaard Floer homology
- An Ozsváth-Szabó Floer homology invariant of knots in a contact manifold
- The contact invariant in sutured Floer homology
- Handlebody construction of Stein surfaces
- A connected sum formula for involutive Heegaard Floer homology
- Holomorphic disks and topological invariants for closed three-manifolds
- Holomorphic disks and three-manifold invariants: properties and applications
- Holomorphic triangle invariants and the topology of symplectic four-manifolds
- Holomorphic disks and knot invariants
- A few remarks about symplectic filling
- Holomorphic disks and genus bounds
- Ozsváth-Szabó invariants and tight contact three-manifolds; I
- Contact structures with distinct Heegaard-Floer invariants
- Involutive Heegaard Floer homology
- Ozsváth-Szabó invariants and fillability of contact structures
- Legendrian knots and monopoles
- Holomorphic triangles and invariants for smooth four-manifolds
- On the local triviality of the restriction map for embeddings
- Some notes on the group of automorphisms of contact and symplectic structures
- Local triviality of the restriction map for embeddings
- Heegaard Floer homology and contact structures
- Cobordisms of sutured manifolds and the functoriality of link Floer homology
- TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
- Naturality and Mapping Class Groups in Heegaard Floer Homology
This page was built for publication: On naturality of the Ozsváth-Szabó contact invariant
