Determinant functors on triangulated categories

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dc.creatorBreuning, Manuel
dc.date2006-10-13
dc.date.accessioned2026-07-07T07:29:04Z
dc.date.available2026-07-07T07:29:04Z
dc.descriptionWe study determinant functors which are defined on a triangulated category and take values in a Picard category. The two main results are the existence of a universal determinant functor for every small triangulated category, and a comparison theorem for determinant functors on a triangulated category with a non-degenerate bounded t-structure and determinant functors on its heart. For a small triangulated category T we give a natural definition of groups K_0(T) and K_1(T) in terms of the universal determinant functor on T, and we show that K_i(T)=K_i(E) for i=0 and 1 if T has a non-degenerate bounded t-structure with heart E.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/math/0610435
dc.identifierhttp://arxiv.org/abs/math/0610435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117960
dc.subjectCategory Theory
dc.subjectK-Theory and Homology
dc.titleDeterminant functors on triangulated categories
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