• A primer for unstable motivic homotopy theory (Antieau and Elmanto)
  • An introductory course on motivic homotopy theory and rational mixed motives (Déglise)
  • Comparison of cobordism theories (Levine)
  • Motivic Homotopy Theory (2002 Norway lectures (Springer))
  • Robalo: Noncommutative Motives I: A Universal Characterization of the Motivic Stable Homotopy Theory of Schemes, 2013 , or K-theory and the bridge from motives to noncommutative motives (among other things, establishes the abstract foundations for unstable and stable motivic categories)
  • Ayoub: The motivic Thom spectrum and the algebraic cobordism (also mentions Thom isomorphism)
  • Panin: Oriented cohomology theories of algebraic varieties (2003)
  • A universality theorem for Voevodsky's algebraic cobordism spectrum (metions Thom isomorphism in 2.0.4?)
  • Motivic homotopy theory in derived algebraic geometry (Adeel Khan's thesis)
  • Motivic spectra and universality of K-theory
  • Notes on motivic infinite loop space theory
  • Motivic model categories and motivic derived algebraic geometry ("motivic" versions of ∞-categories, ∞-topoi, spectral schemes and spectral Deligne--Mumford stacks; vector bundles, Thom spaces, cobordism for motivic stacks)
  • Modules over motivic ring spectra
  • Motivic infinite loop spaces
  • Modules over algebraic cobordism
  • The localization theorem for framed motivic spaces (framed motivic spectra are equivalent to motivic spectra over arbitrary schemes)
  • Framed transfers and motivic fundamental classes
  • On the infinite loop spaces of algebraic cobordism and the motivic sphere
  • Motivic colimits and extended powers (colimits for diagrams in a motivic category indexed by a presheaf of spaces)
  • Milnor excision for motivic spectra
  • Algebraic cobordism and étale cohomology
  • Algebraic K-theory of quasi-smooth blow-ups and cdh descent
  • Cdh descent in equivariant homotopy K-theory (also contains results on motivic localization of BG)