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PreprintarXiv licencearXiv

Weight structures and t-structures on the triangulated category generated by a ℙ-object

  • Lukas Bonfert
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Abstract

ℙ-objects were introduced by Huybrechts and Thomas as a generalization of spherical objects. We classify the weight structures and t-structures on the triangulated category generated by a ℙn[k]-object in the sense of Krug. For n=1, this recovers the classification of weight structures and t-structures on the triangulated category generated by a spherical object due to Holm, Jorgensen and Yang. We also compute the Koszul-dual model of the triangulated category generated by a ℙn[k]-object.

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Cite

BibTeXRIS
BibTeX
@misc{bonfert2026weight,
  title = {{Weight structures and t-structures on the triangulated category generated by a $\mathbbP$-object}},
  author = {Lukas Bonfert},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21859},
  eprint = {2610.21859},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21859},
}
RIS
TY  - UNPB
TI  - Weight structures and t-structures on the triangulated category generated by a ℙ-object
AU  - Lukas Bonfert
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21859
UR  - https://arxiv.org/abs/2610.21859
AB  - ℙ-objects were introduced by Huybrechts and Thomas as a generalization of spherical objects. We classify the weight structures and t-structures on the triangulated category generated by a ℙ^n[k]-object in the sense of Krug. For n=1, this recovers the classification of weight structures and t-structures on the triangulated category generated by a spherical object due to Holm, Jorgensen and Yang. We also compute the Koszul-dual model of the triangulated category generated by a ℙ^n[k]-object.
ER  -