Overviews
Pontryagin-Thom Theorem and cornered manifolds
Morse Theory
- Topology from the differentiable viewpoint - Milnor
- Morse Theory - Milnor
- An Invitation to Morse Theory - Nicolaescu
- Morse homology - Jeff Hicks
- Lecture notes on Morse homology - Michael Hutchings
The Cohen-Jones-Segal construction and flow categories
- Floer's infinite dimensional Morse theory and homotopy theory - Cohen, Jones and Segal
- Floer homotopy theory, realizing chain complexes by module spectra, and manifolds with corners - Cohen
- Morse moves in flow categories - Jones, Lobb and Schuetz
- Framed cobordism and flow category moves - Lobb, Orson and Schuetz
Pre Lipshitz-Sarkar spacifications
- The homotopy theory of Khovanov homology - Everitt and Turner
- Field theories, stable homotopy theory and Khovanov homology - Hu, Kriz and Kriz
The Lipshitz-Sarkar construction
- A Khovanov homotopy type - Lipshitz and Sarkar
- Computations of the Lipshitz-Sarkar Steenrod Square on Khovanov Homology - Cotton Seed
- A Steenrod Square on Khovanov Homology - Lipshitz and Sarkar
- A refinement of Rasmussen's s-invariant - Lipshitz and Sarkar
The Lawson-Lipshitz-Sarkar constructions
- Khovanov homotopy type, Burnside category, and products - Lawson, Lipshitz and Sarkar
- The cube and the Burnside category - Lawson, Lawson, Lipshitz and Sarkar
- Khovanov spectra for tangles - Lawson, Lawson, Lipshitz and Sarkar
Spacifying other knot homology theories
- Derived Representation Theory and Stable Homotopy Categorification of sl_k - Hu, Kriz and Somberg
- An sl_n stable homotopy type for matched diagrams - Jones, Lobb and Schuetz
- A Khovanov stable homotopy type for colored links - Lobb, Orson and Schuetz
- An odd Khovanov homotopy type - Sarkar, Scaduto, Stoffregen