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We review what is currently known about the transverse spin structure ofhadrons, in particular from observables that can be analyzed within a collinearframework. These effects have been around for 40 years and represent a criticaltest of perturbative QCD. We look at both proton-proton and lepton-nucleoncollisions for various final states. While the main focus is on transversesingle-spin asymmetries, we also discuss how longitudinal-transversedouble-spin asymmetries offer a complimentary, yet equally important, source ofinformation on the quark-gluon content of hadrons. We also summarize somerecent progress in solidifying the theoretical formalism behind theseobservables and give an outlook on future directions of research.

Transverse spin observables in hard-scattering hadronic processes within collinear factorization