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arXiv · 2505.11287

Representable triangulated functors in terms of semiorthogonal decompositions

Jonas Frank·Mathias Schulze
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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.

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Jonas Frank, Mathias Schulze. 2025-05-16. Representable triangulated functors in terms of semiorthogonal decompositions. https://arxiv.org/abs/2505.11287

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