Journal of the Ramanujan Mathematical Society
Volume 30, Issue 3, September 2015 pp. 309–330.
Sublagrangian constructions
Authors:
Satya Mandal
Author institution:University of Kansas, Lawrence KS 66045
Summary:
In this article we show multiple ways of constructing
sublagrangians of symmetric forms φ : ξ • →
ξ • # 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(Dk(X)) of the
filtered subcategories.
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