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Embeddings of Derived Categories of Moduli Spaces into Symmetric Powers
Abstract
We give a criterion for the box product of a Fourier--Mukai kernel to induce a fully faithful functor to the derived category of a symmetric quotient stack. This leads to many new examples of embeddings of derived categories of moduli spaces. We study in more detail the case of the moduli space of stable bundles on a curve. Concretely, we identify pieces of the left-orthogonal complement of our embedding, and extend the known semi-orthogonal decomposition of the moduli space of bundles with rank 2 and fixed determinant to the moduli space of bundles with varying determinant.
Related
- Moduli spaces of stable objects in Enriques categories
- Isometric embeddings of noncommutative Lp-spaces into noncommutative symmetric spaces
- Symmetric Bases and ℓp Embeddings in Musielak--Orlicz Sequence Spaces under δ2
- Homotopy Poisson and BV∞ structures on derived moduli spaces of flat connections
- Subset-system derived topologies and coreflective categories of T0-spaces
BibTeX
@misc{krug2026embeddings,
title = {{Embeddings of Derived Categories of Moduli Spaces into Symmetric Powers}},
author = {Andreas Krug},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10708},
eprint = {2610.10708},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10708},
}
RIS
TY - UNPB
TI - Embeddings of Derived Categories of Moduli Spaces into Symmetric Powers
AU - Andreas Krug
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10708
UR - https://arxiv.org/abs/2610.10708
AB - We give a criterion for the box product of a Fourier--Mukai kernel to induce a fully faithful functor to the derived category of a symmetric quotient stack. This leads to many new examples of embeddings of derived categories of moduli spaces. We study in more detail the case of the moduli space of stable bundles on a curve. Concretely, we identify pieces of the left-orthogonal complement of our embedding, and extend the known semi-orthogonal decomposition of the moduli space of bundles with rank 2 and fixed determinant to the moduli space of bundles with varying determinant.
ER -