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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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