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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 $ …
Don Stanley's user avatar
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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) …
Don Stanley's user avatar
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