A hitchhiker's guide to Khovanov homology
arXiv:1409.6442
Abstract
These notes from the 2014 summer school Quantum Topology at the CIRM in Luminy attempt to provide a rough guide to a selection of developments in Khovanov homology over the last fifteen years.
arXiv comment36 pages
References in corpus (29)
- Khovanov's homology for tangles and cobordisms
- A functor-valued invariant of tangles
- Khovanov-Rozansky Homology and Topological Strings
- Knot invariants and higher representation theory
- Categorification of the Kauffman bracket skein module of I-bundles over surfaces
- An invariant of link cobordisms from Khovanov homology
- Knot homology groups from instantons
- A Khovanov stable homotopy type
- Link Homologies and the Refined Topological Vertex
- Man and machine thinking about the smooth 4-dimensional Poincaré conjecture
- Note on Khovanov link cohomology
- Gauge theory and Rasmussen's invariant
- A slice genus lower bound from sl(n) Khovanov-Rozansky homology
- Instantons and odd Khovanov homology
- Homological thickness and stability of torus knots
- A geometric construction of colored HOMFLYPT homology
- Khovanov homology is a skew Howe 2-representation of categorified quantum sl(m)
- An introduction to diagrammatic algebra and categorified quantum sl(2)
- Rasmussen's spectral sequences and the sl(N)-concordance invariants
- A note on Gornik's perturbation of Khovanov-Rozansky homology
- Knots with identical Khovanov homology
- Khovanov-Rozansky homology via a canopolis formalism
- Open-closed TQFTs extend Khovanov homology from links to tangles
- Generic deformations of the colored sl(N)-homology for links
- Symplectic topology of SU(2)-representation varieties and link homology, I: Symplectic braid action and the first Chern class
- Structured singular manifolds and factorization homology
- On stable sl3-homology of torus knots
- An integral lift, starting in odd Khovanov homology, of Szabó's spectral sequence
- A note on Khovanov-Rozansky -homology and ordinary Khovanov homology