Sublagrangian Constructions

In this article we show multiple ways of constructing sublagrangians of symmetric forms φ : ε_•˜→ε^#_• in the bounded derived category 𝒟^b(V (X)) of complexes of locally free sheaves over quasi-projective regular (sometimes without regularity) schemes X, over noetherian affine schemes Spec (A). By application of the sublagrangian theorem of Balmer, for Witt theory of triangulated categories, we prove some results regarding structure of forms in the Witt groups Wⁿ(𝒟^k (X)) of the filtered subcategories.