Homological knot invariants from mirror symmetry
From MaRDI portal
Publication:6119695
DOI10.4171/icm2022/197arXiv2207.14104OpenAlexW4289446396MaRDI QIDQ6119695
Publication date: 24 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.14104
Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A functorial approach to the one-variable Jones polynomial
- A link invariant from the symplectic geometry of nilpotent slices
- Holomorphic disks, link invariants and the multi-variable Alexander polynomial
- Topological--anti-topological fusion.
- Knot homology via derived categories of coherent sheaves. II: \(\mathfrak{sl}_{m}\) case
- Electric-magnetic duality and the geometric Langlands program
- Monodromy representations of braid groups and Yang-Baxter equations
- Current algebras and Wess-Zumino model in two dimensions
- Quantum field theory and the Jones polynomial
- Supersymmetry and Morse theory
- Arrangements of hyperplanes and Lie algebra homology
- Holomorphic disks and three-manifold invariants: properties and applications
- Ribbon graphs and their invariants derived from quantum groups
- Mirror symmetry is \(T\)-duality
- A categorification of the Jones polynomial
- The Coulomb branch of 3d \({\mathcal{N}= 4}\) theories
- A homological definition of the HOMFLY polynomial
- Stability conditions on triangulated categories
- A cylindrical reformulation of Heegaard Floer homology
- Quivers, Floer cohomology, and braid group actions
- D-branes, categories and N=1 supersymmetry
- Hodge theoretic aspects of mirror symmetry
- A polynomial invariant for knots via von Neumann algebras
- A family of representations of affine Lie algebras
- Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
This page was built for publication: Homological knot invariants from mirror symmetry