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$t$-structure is a structure imposed on triangulated categories, first introduced in Beilinson, Bernstein, Deligne's "Faisceaux Pervers".
1
vote
reference for a result on thick subcategories and t-structures
First of all I'm assuming that in your first $Ext^j(A,B)$ that you mean $Ext$ in $C$ and not
in the heart.
Then there's something I don't understand. Isn't $B$ in the thick subcategory?
So then in $ …
6
votes
What is the relationship between t-structure and Torsion pair?
As I understand it, all torsion classes correspond to t-structures in the way described by Greg, but there is almost always more t-structures than torsion classes (even taking into account the shifts) …