Assume $M$ is a closed smooth manifold of real dimension $\geq 4$. What is known about the geometry of the "space" of almost complex structures up to conjugation by diffeomorphisms? There are quotes because I am not sure what is the natural topology to consider on that set. Is it locally finite-dimensional? Is there a cohomological interpretation of the tangent space at a point $[J]$ (corresponding to an a.c.s. $J$)?


Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Browse other questions tagged or ask your own question.