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43 votes
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Kähler structure on cotangent bundle?

This is true! I assume $M$ compact. Method 1. Real algebraic geometry. Cf. Fukaya, Seidel, and Smith - Exact Lagrangian submanifolds in simply-connected cotangent bundles. By a version of the Nash–To …
Tim Perutz's user avatar
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25 votes
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Can cotangent bundles see exotic smooth structures?

I wrote a little expository piece about this and related matters in the Newsletter of the European Mathematical Society: http://www.ems-ph.org/journals/newsletter/pdf/2010-03-75.pdf The classical to …
Tim Perutz's user avatar
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