### The n-motivic t-structure for n = 0, 1 and 2, by Joseph Ayoub

For n = 0, 1 and 2, we define an n-motivic t-structure on Voevodsky's
triangulated category of effective motives. The 0-motivic t-structure is taken
to be the homotopy t-structure, but for n = 1 and 2, we get new t-structures.
We show that the heart of the 1-motivic t-structure contains the category of
Deligne's 1-motives. We then specify certain objects in the heart of the
2-motivic t-structure which we call mixed 2-motives. We also show that the
category of mixed 2-motives is abelian.

Joseph Ayoub <joseph.ayoub@math.uzh.ch>