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$t$-structure is a structure imposed on triangulated categories, first introduced in Beilinson, Bernstein, Deligne's "Faisceaux Pervers".

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Semi-stable bundles as a heart of a t-structure

Given an algebraic curve, the category of semi-stable vector bundles of fixed slope forms an abelian category see here page 2. This is surprising as the vector bundles themselves are not an abelian ca …
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