Oka manifold

Oka manifolds comprise a special class of complex analytic manifolds which are suited to apply the Oka principle. Oka maps are a relative version; they are fibrations in the Jardine-Lárusson model structure on the category of simplicial presheaves on the simplicial Stein site. Those cofibrant objects which are representable by complex manifolds are in fact Stein manifolds.

- Franc Forstnerič,
*Oka manifolds*, C. R. Math. Acad. Sci. Paris 347 (2009), 1017–20. - Franc Forstnerič,
*Oka maps*, arxiv/0911.3439

A beginner’s survey is

- Finnur Lárusson,
*What is an Oka manifold*, Notices AMS, pdf

Revised on May 30, 2014 01:40:08
by Urs Schreiber
(31.55.15.191)