Representable triangulated functors in terms of semiorthogonal decompositions
Category Theory
2025-05-19 v1
Abstract
A theorem of Bondal and Kapranov lifts representations of cohomological functors from semiorthogonal decompositions of triangulated categories. We present a version of this result for triangulated functors. To this end, we introduce suitable terminology in enriched category theory and transfer the original proof.
Cite
@article{arxiv.2505.11287,
title = {Representable triangulated functors in terms of semiorthogonal decompositions},
author = {Jonas Frank and Mathias Schulze},
journal= {arXiv preprint arXiv:2505.11287},
year = {2025}
}
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17 pages