Filtered instanton Floer homology and the homology cobordism group
From MaRDI portal
Publication:6620344
DOI10.4171/jems/1371MaRDI QIDQ6620344
Yuta Nozaki, Kouki Sato, Masaki Taniguchi
Publication date: 16 October 2024
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
homology cobordism groupknot concordance groupChern-Simons functionalinstanton Floer homologydefinite 4-manifold
Yang-Mills and other gauge theories in quantum field theory (81T13) Floer homology (57R58) Eta-invariants, Chern-Simons invariants (58J28) Cobordism and concordance in PL-topology (57Q60) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Four-ball genus bounds and a refinement of the Ozsváth-Szabó tau invariant
- The knot Floer complex and the smooth concordance group
- Khovanov homology and the slice genus
- Monopole Floer homology for rational homology 3-spheres
- Knot Floer homology and rational surgeries
- Quantitative embedded contact homology
- Instantons, concordance, and Whitehead doubling
- A full-twist inequality for the \(\nu^{+}\)-invariant
- Homology cobordism group of homology 3-spheres
- Connected Floer homology of covering involutions
- The topology of four-dimensional manifolds
- Pseudofree orbifolds
- Integer graded instanton homology groups for homology three spheres
- Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)
- Applications of symplectic homology. I
- Knot Floer homology and the four-ball genus
- Equivariant aspects of Yang-Mills Floer theory
- Instantons for 4-manifolds with periodic ends and an obstruction to embeddings of 3-manifolds
- Chern-Simons invariants of 3-manifolds and representation spaces of knot groups
- The orientation of Yang-Mills moduli spaces and 4-manifold topology
- An instanton-invariant for 3-manifolds
- An application of gauge theory to four dimensional topology
- Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
- Linear independence of topologically slice knots in the smooth cobordism group
- More concordance homomorphisms from knot Floer homology
- Chern-Simons functional and the homology cobordism group
- Involutive Heegaard Floer homology
- Concordance homomorphisms from knot Floer homology
- Independence of satellites of torus knots in the smooth concordance group
- Instanton Floer homology with Lagrangian boundary conditions
- Knot Floer homology and integer surgeries
- Instantons and odd Khovanov homology
- Homology Cobordisms, Link Concordances, and Hyperbolic 3-Manifolds
- Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
- Instanton Homology of Seifert Fibred Homology Three Spheres
- Unknotting Information from 4-Manifolds
- Classifications of simplicial triangulations of topological manifolds
- Topological methods to compute Chern-Simons invariants
- Heegaard Floer correction terms of (+1)-surgeries along (2,q)-cablings
- APPLICATIONS OF INVOLUTIVE HEEGAARD FLOER HOMOLOGY
- Pin(2)-equivariant Seiberg–Witten Floer homology of Seifert fibrations
- Gauge theory and Rasmussen's invariant
- ON THE KNOT FLOER FILTRATION OF THE CONCORDANCE GROUP
- A Concordance Invariant from the Floer Homology of Double Branched Covers
- Smooth Homology Spheres and their Fundamental Groups
- Instantons and some concordance invariants of knots
- The classification of exceptional Dehn surgeries on 2-bridge knots
Related Items (3)
Equivariant aspects of singular instanton Floer homology ⋮ Instanton knot invariants with rational holonomy parameters and an application for torus knot groups ⋮ 3-manifolds without any embedding in symplectic \(4\)-manifolds
This page was built for publication: Filtered instanton Floer homology and the homology cobordism group