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Answers
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What is a deformation of a category?
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look into Delzant Polytope
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What are the possible images of a square under an area-preserving map?
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Is the Fukaya category “defined”?
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Most helpful math resources on the web
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Where are mathematics jobs advertised if not on mathjobs (e.g. in Europe and elsewhere)?
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Undergraduate Level Math Books (3)
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Compact Kaehler manifolds that are isomorphic as symplectic manifolds but not as complex manifolds (and vice-versa)