F. Bastianelli, P. Belmans, S. Okawa, and A. T. Ricolfi, Indecomposability of derived categories in families, arXiv:2007.00994v1.
P. Belmans, Semiorthogonal decompositions for moduli of sheaves on curves, Oberwolfach workshop 1822, interactions between algebraic geometry and noncommutative algebra, 15, pp. 1473–1476, 2018.
P. Belmans, L. Fu, and T. Raedschelders, Hilbert squares: derived categories and deformations, Selecta Math. (N.S.) 25 (2019), no. 3, 37.
P. Belmans, S. Galkin, and S. Mukhopadhyay, Decompositions of moduli spaces of vector bundles and graph potentials, Forum Math. Sigma (to appear), arXiv:2009. 05568v2.
P. Belmans and S. Mukhopadhyay, Admissible subcategories in derived categories of moduli of vector bundles on curves, Adv. Math. 351 (2019), 653–675.
P. Belmans and T. Raedschelders, Derived categories of noncommutative quadrics and Hilbert squares, Int. Math. Res. Not. IMRN 19 (2020), 6042–6069.
I. Biswas, T. Gómez, and K.-S. Lee, Semi-orthogonal decomposition of symmetric products of curves and canonical system, Rev. Mat. Iberoam. 37 (2021), no. 5, 1885–1896.
T. Bridgeland, A. King, and M. Reid, The McKay correspondence as an equivalence of derived categories, J. Amer. Math. Soc. 14 (2001), no. 3, 535–554.
U. Bruzzo and F. Sala, Framed sheaves on projective stacks, Adv. Math. 272 (2015), 20–95, With an appendix by Mattia Pedrini.
A. Căldăraru and S. Willerton, The Mukai pairing. I. A categorical approach, New York J. Math. 16 (2010), 61–98.
J. Cheah, Cellular decompositions for nested Hilbert schemes of points, Pacific J. Math. 183 (1998), no. 1, 39–90.
J. Fogarty, Algebraic families on an algebraic surface, Amer. J. Math. 90 (1968), 511–521.
, Algebraic families on an algebraic surface. II. The Picard scheme of the punctual Hilbert scheme, Amer. J. Math. 95 (1973), 660–687.
A. Fonarev and A. Kuznetsov, Derived categories of curves as components of Fano manifolds, J. Lond. Math. Soc. (2) 97 (2018), no. 1, 24–46.
S. Galkin and E. Shinder, On a zeta-function of a dg-category, 2015, arXiv:1506. 05831v1.
N. Ganter and M. Kapranov, Symmetric and exterior powers of categories, Transform. Groups 19 (2014), no. 1, 57–103.
M. Haiman, Hilbert schemes, polygraphs and the Macdonald positivity conjecture, J. Amer. Math. Soc. 14 (2001), no. 4, 941–1006.
D. Huybrechts and M. Lehn, The geometry of moduli spaces of sheaves, second edition, Cambridge University Press, Cambridge, 2010.
Q. Jiang and N. C. Leung, Derived category of projectivizations and flops, Adv. Math. 396 (2022), 108169.
A. Krug, Extension groups of tautological sheaves on Hilbert schemes, J. Algebraic Geom. 23 (2014), no. 3, 571–598.
, On derived autoequivalences of Hilbert schemes and generalized Kummer varieties, Int. Math. Res. Not. IMRN 20 (2015), 10680–10701.
, Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles, Math. Ann. 371 (2018), no. 1–2, 461–486.
, Symmetric quotient stacks and Heisenberg actions, Math. Z. 288 (2018), no. 1–2, 11–22.
, P-functor versions of the Nakajima operators, Algebr. Geom. 6 (2019), no. 6, 678–715.
A. Krug and J. V. Rennemo, Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points, Math. Nachr. 295 (2022), no. 1, 158–174.
A. Krug and P. Sosna, On the derived category of the Hilbert scheme of points on an Enriques surface, Selecta Math. (N.S.) 21 (2015), no. 4, 1339–1360.
K.-S. Lee, Remarks on motives of moduli spaces of rank 2 vector bundles on curves, arXiv:1806.11101v2.
K.-S. Lee and M. S. Narasimhan, Symmetric products and moduli spaces of vector bundles of curves, arXiv:2106.04872v1.
X. Lin, On nonexistence of semi-orthogonal decompositions in algebraic geometry, 2021, arXiv:2107.09564v1.
C. Meachan, Derived autoequivalences of generalised Kummer varieties, Math. Res. Lett. 22 (2015), no. 4, 1193–1221.
M. Narasimhan, Derived categories of moduli spaces of vector bundles on curves, J. Geom. Phys. 122 (2017), 53–58.
M. Nieper-Wißkirchen, Chern numbers and Rozansky–Witten invariants of compact hyper-Kähler manifolds, World Scientific Publishing Co., Inc., River Edge, NJ, 2004.
S. Okawa, Semi-orthogonal decomposability of the derived category of a curve, Adv. Math. 228 (2011), no. 5, 2869–2873.
D. Orlov, Projective bundles, monoidal transformations, and derived categories of coherent sheaves, Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992), no. 4, 852–862.
R. Rouquier, Categorification of sl2 and braid groups, Trends in representation theory of algebras and related topics, Contemp. Math., 406, pp. 137–167, Amer. Math. Soc., Providence, RI, 2006.
L. Scala, Some remarks on tautological sheaves on Hilbert schemes of points on a surface, Geom. Dedicata 139 (2009), 313–329.
R. Schwarzenberger, Jacobians and symmetric products, Illinois J. Math. 7 (1963), 257–268.
J. Tevelev and S. Torres, The BGMN conjecture via stable pairs, arXiv:2108. 11951v3.
N. Timofeeva, Determinantal resolution of the universal subscheme in S × Hd+1, Mat. Zametki 69 (2001), no. 2, 286–294.
Y. Toda, Semiorthogonal decompositions of stable pair moduli spaces via d-critical flips, J. Eur. Math. Soc. (JEMS) 23 (2021), no. 5, 1675–1725.
K. Xu and S.-T. Yau, Semiorthogonal decomposition of Db(BunL2 ), arXiv:2108. 13353v2.