4 papers
Adjacent non-stable layers in the -homotopy of the special linear tower
Haoyang Liu, Fan Yang
We determine the two cross-stage morphisms arising from adjacent Stiefel fiber sequences in the special linear tower. Over characteristic-zero fields, the first is the Wood morphis…
Vector Bundles on Rational Topologically Contractible Affine Threefolds
Haoyang Liu, Biman Roy
The generalized Serre question asks whether every algebraic vector bundle on a topologically contractible smooth affine complex variety is trivial. We give an affirmative answer fo…
On the splitting of surfaces in motivic stable homotopy category
Haoyang Liu
Let be a perfect field and be a smooth projective surface over with a rational point, we discuss the condition of splitting off the top cell for the motivic stable homo…
Splitting of abelian varieties in motivic stable homotopy category
Haoyang Liu
In this paper, we discuss the motivic stable homotopy type of abelian varieties. For an abelian variety over a perfect field with a rational point, it always splits off a top-d…