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## Main Question or Discussion Point

Hi, I just finished up with Riemann Geometry not to long ago, and did something with complex geometry on kahler manifolds. In your opinion what would be a next logical step for someone to study? I am very interested in manifold theory and differential geometry in general. I'm somewhat familiar with algebraic geometry as well, I notice that get thrown in sometimes with manifold theory. Main reason I'm asking is that now when I look for books to self study they seem to go off in different directions at this level. I would like other peoples opinions on what would be interesting to self study and a good book/paper related to it. Preference towards things that may have physical applications. Thanks!