Representable triangulated functors in terms of semiorthogonal decompositions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915289960022016 |
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| author | Frank, Jonas Schulze, Mathias |
| author_facet | Frank, Jonas Schulze, Mathias |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11287 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Representable triangulated functors in terms of semiorthogonal decompositions Frank, Jonas Schulze, Mathias Category Theory 18A22, 18E40 (Primary) 18G80, 18D20 (Secondary) 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. |
| title | Representable triangulated functors in terms of semiorthogonal decompositions |
| topic | Category Theory 18A22, 18E40 (Primary) 18G80, 18D20 (Secondary) |
| url | https://arxiv.org/abs/2505.11287 |