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1
D Abramovich , M
Olsson , A Vistoli , Tame stacks in positive
characteristic , Ann. Inst. Fourier (Grenoble) 58 (2008)
1057 MR2427954
2
M Aganagic , A
Klemm , M Mariño , C Vafa , The topological
vertex , Comm. Math. Phys. 254 (2005) 425 MR2117633
3
J Alper , J
Hall , D Rydh , A Luna étale
slice theorem for algebraic stacks , Ann. of Math. 191
(2020) 675 MR4088350
4
D Aranha , A A
Khan , A Latyntsev , H Park , C Ravi ,
Virtual
localization revisited , Adv. Math. 479 (2025) 110434
MR4933128
5
S V Beentjes ,
J Calabrese , J V Rennemo , A proof of the
Donaldson–Thomas crepant resolution conjecture , Invent.
Math. 229 (2022) 451 MR4448990
6
D Borisov , D
Joyce , Virtual fundamental
classes for moduli spaces of sheaves on Calabi–Yau
four-folds , Geom. Topol. 21 (2017) 3231 MR3692967
7
T Bridgeland ,
Hall algebras
and curve-counting invariants , J. Amer. Math. Soc. 24
(2011) 969 MR2813335
8
J Bryan , A
Gholampour , The quantum McKay
correspondence for polyhedral singularities , Invent.
Math. 178 (2009) 655 MR2551767
9
J Bryan , D
Steinberg , Curve counting invariants
for crepant resolutions , Trans. Amer. Math. Soc. 368
(2016) 1583 MR3449219
10
J Bryan , C
Cadman , B Young , The orbifold
topological vertex , Adv. Math. 229 (2012) 531 MR2854183
11
J Calabrese ,
On the crepant
resolution conjecture for Donaldson–Thomas invariants ,
J. Algebraic Geom. 25 (2016) 1 MR3419955
12
Y Cao , M Kool ,
S Monavari , K -theoretic DT/PT correspondence for toric
Calabi–Yau 4 -folds , Comm.
Math. Phys. 396 (2022) 225 MR4499016
13
Y Cao , M Kool ,
S Monavari , A Donaldson–Thomas crepant
resolution conjecture on Calabi–Yau 4 -folds , Trans. Amer. Math. Soc. 376
(2023) 8225 MR4657232
14
H l Chang , J
Li , Semi-perfect
obstruction theory and Donaldson–Thomas invariants of derived
objects , Comm. Anal. Geom. 19 (2011) 807 MR2880216
15
N Chriss , V
Ginzburg , Representation
theory and complex geometry , Birkhäuser (1997) MR1433132
16
I Ciocan-Fontanine ,
M Kapranov , Virtual fundamental
classes via dg-manifolds , Geom. Topol. 13 (2009) 1779
MR2496057
17
B Davison , A T
Ricolfi , The local motivic DT/PT
correspondence , J. Lond. Math. Soc. 104 (2021) 1384
MR4332481
18
N Fasola , S
Monavari , A T Ricolfi , Higher rank K-theoretic
Donaldson–Thomas theory of points , Forum Math. Sigma 9
(2021) MR4228267
19
B Feigin , M
Jimbo , T Miwa , E Mukhin , Finite type modules
and Bethe ansatz for quantum toroidal 𝔤𝔩 1 , Comm. Math. Phys. 356 (2017)
285 MR3694029
20
D Gaiotto , M
Rapčák , Miura operators,
degenerate fields and the M2-M5 intersection , J. High
Energy Phys. 2022 (2022) 086 MR4403458
21
P Gross , Tensor generators on
schemes and stacks , Algebr. Geom. 4 (2017) 501 MR3683505
22
D Huybrechts , M
Lehn , Framed modules and
their moduli , Internat. J. Math. 6 (1995) 297 MR1316305
23
D Huybrechts , M
Lehn , The geometry of
moduli spaces of sheaves , E31, Vieweg & Sohn (1997)
MR1450870
24
D Huybrechts ,
R P Thomas , Deformation-obstruction
theory for complexes via Atiyah and Kodaira–Spencer
classes , Math. Ann. 346 (2010) 545 MR2578562
25
L Illusie , Complexe cotangent et
déformations, I , 239, Springer (1971) MR491680
26
A Iqbal , C
Vafa , N Nekrasov , A Okounkov , Quantum foam
and topological strings , J. High Energy Phys. 2008
(2008) 011, 47 MR2425292
27
A Iqbal , C
Kozçaz , C Vafa , The refined
topological vertex , J. High Energy Phys. 2009 (2009)
069, 58 MR2607441
28
H Jenne , G
Webb , B Young ,
The combinatorial PT–DT correspondence , Sém. Lothar.
Combin. 85B (2021) 89 MR4311970
29
D Joyce ,
Enumerative invariants and wall-crossing formulae in abelian
categories , preprint (2021) arXiv:2111.04694
30
D Joyce , Y
Song , A theory of
generalized Donaldson–Thomas invariants , 1020, Amer.
Math. Soc. (2012) MR2951762
31
Y H Kiem , J
Li , A wall crossing
formula of Donaldson–Thomas invariants without Chern–Simons
functional , Asian J. Math. 17 (2013) 63 MR3038725
32
Y H Kiem , M
Savvas , Localizing virtual
structure sheaves for almost perfect obstruction
theories , Forum Math. Sigma 8 (2020) MR4190061
33
Y H Kiem , M
Savvas , K -theoretic generalized Donaldson–Thomas
invariants , Int. Math. Res. Not. 2022 (2022) 2123
MR4366004
34
B Kim , A
Kresch , T Pantev , Functoriality
in intersection theory and a conjecture of Cox, Katz, and
Lee , J. Pure Appl. Algebra 179 (2003) 127 MR1958379
35
Y Kononov , A
Okounkov , A Osinenko , The 2 -leg vertex in K-theoretic DT theory ,
Comm. Math. Phys. 382 (2021) 1579 MR4232774
36
N Kuhn , The Atiyah class on
algebraic stacks , Forum Math. Sigma 12 (2024) MR4825109
37
N Kuhn , Y
Tanaka , A blowup formula for virtual enumerative
invariants on projective surfaces , preprint (2021) arXiv:2107.08155
38
S G Langton ,
Valuative criteria
for families of vector bundles on algebraic varieties ,
Ann. of Math. 101 (1975) 88 MR364255
39
G Laumon , L
Moret-Bailly , Champs
algébriques , 39, Springer (2000) MR1771927
40
Y P Lee ,
Quantum
K -theory, I : Foundations ,
Duke Math. J. 121 (2004) 389 MR2040281
41
J Li , B Wu ,
Good
degeneration of Quot-schemes and coherent systems ,
Comm. Anal. Geom. 23 (2015) 841 MR3385781
42
J Li ,
C C M Liu , K Liu , J Zhou ,
A
mathematical theory of the topological vertex , Geom.
Topol. 13 (2009) 527 MR2469524
43
H Liu , Asymptotic
representations of shifted quantum affine algebras from
critical K-theory , PhD thesis, Columbia University
(2021) MR4257419
44
H Liu , Quasimaps and stable
pairs , Forum Math. Sigma 9 (2021) MR4247638
45
H Liu , Semistable
refined Vafa–Witten invariants , preprint (2023) arXiv:2309.03673
46
H Liu , The
4 -fold Pandharipande–Thomas
vertex , J. Geom. Phys. 198 (2024) 105104 MR4692498
47
J Lo , Polynomial
Bridgeland stable objects and reflexive sheaves , Math.
Res. Lett. 19 (2012) 873 MR3008421
48
C Manolache ,
Virtual
pull-backs , J. Algebraic Geom. 21 (2012) 201 MR2877433
49
D Maulik , N
Nekrasov , A Okounkov , R Pandharipande ,
Gromov–Witten
theory and Donaldson–Thomas theory, I , Compos. Math.
142 (2006) 1263 MR2264664
50
D Maulik , N
Nekrasov , A Okounkov , R Pandharipande ,
Gromov–Witten
theory and Donaldson–Thomas theory, II , Compos. Math.
142 (2006) 1286 MR2264665
51
D Maulik , R
Pandharipande , R P Thomas , Curves on K 3 surfaces and
modular forms , J. Topol. 3 (2010) 937 MR2746343
52
D Maulik , A
Oblomkov , A Okounkov , R Pandharipande ,
Gromov–Witten/Donaldson–Thomas
correspondence for toric 3 -folds , Invent. Math. 186 (2011) 435
MR2845622
53
T Mochizuki ,
Donaldson type
invariants for algebraic surfaces: transition of moduli
stacks , 1972, Springer (2009) MR2508583
54
H Nakajima , K
Yoshioka , Perverse coherent
sheaves on blowup, III : Blow-up formula from
wall-crossing , Kyoto J. Math. 51 (2011) 263 MR2793270
55
N Nekrasov ,
𝔅𝔓𝔖 ∕ ℭ𝔉𝔗
correspondence : instantons at crossroads and gauge
origami , from: "String-Math 2015" (editors S Li, B H
Lian, W Song, S T Yau), Proc. Sympos. Pure Math. 96, Amer.
Math. Soc. (2017) 183 MR3751819
56
N Nekrasov , A
Okounkov , Membranes and
sheaves , Algebr. Geom. 3 (2016) 320 MR3504535
57
A Oblomkov , EGL
formula for DT/PT theory of local curves , preprint (2019)
arXiv:1901.03014
58
J Oh , R P
Thomas , Counting sheaves
on Calabi–Yau 4 -folds, I ,
Duke Math. J. 172 (2023) 1333 MR4583653
59
A Okounkov ,
On the
crossroads of enumerative geometry and geometric representation
theory , from: "Proceedings of the International
Congress of Mathematicians" (editors B Sirakov, P N de
Souza, M Viana), World Sci. (2018) 839 MR3966746
60
A Okounkov , N
Reshetikhin , C Vafa , Quantum Calabi–Yau
and classical crystals , from: "The unity of
mathematics" (editors P Etingof, V Retakh, I M Singer),
Progr. Math. 244, Birkhäuser (2006) 597 MR2181817
61
M Olsson , Sheaves on Artin
stacks , J. Reine Angew. Math. 603 (2007) 55 MR2312554
62
H Park , Virtual
pullbacks in Donaldson–Thomas theory of Calabi–Yau 4 -folds , preprint (2021) arXiv:2110.03631
63
M Rapčák , Y
Soibelman , Y Yang , G Zhao , Cohomological
Hall algebras and perverse coherent sheaves on toric Calabi–Yau
3 -folds , preprint (2020)
arXiv:2007.13365
64
F Sala , Symplectic
structures on moduli spaces of framed sheaves on
surfaces , Cent. Eur. J. Math. 10 (2012) 1455 MR2925615
65
A Sheshmani ,
Higher
rank stable pairs and virtual localization , Comm. Anal.
Geom. 24 (2016) 139 MR3514557
66
P Belmans , A J
de Jong , others , The Stacks project ,
electronic reference (2005–)
67
J Stoppa , R P
Thomas , Hilbert schemes and stable
pairs : GIT and derived category wall crossings , Bull.
Soc. Math. France 139 (2011) 297 MR2869309
68
Y Tanaka , R P
Thomas , Vafa–Witten invariants for
projective surfaces, I : Stable case , J. Algebraic
Geom. 29 (2020) 603 MR4158461
69
R P Thomas ,
A
holomorphic Casson invariant for Calabi–Yau 3 -folds, and bundles on K 3
fibrations , J. Differential Geom. 54 (2000) 367
MR1818182
70
R P Thomas ,
Equivariant
K -theory and refined Vafa–Witten
invariants , Comm. Math. Phys. 378 (2020) 1451 MR4134951
71
R P Thomas ,
A
K-theoretic Fulton class , from: "Facets of algebraic
geometry, II" (editors P Aluffi, D Anderson, M Hering, M
Mustaţă, S Payne), London Math. Soc. Lecture Note Ser. 473,
Cambridge Univ. Press (2022) 367 MR4381920
72
Y Toda , Curve counting
theories via stable objects, I : DT/PT correspondence ,
J. Amer. Math. Soc. 23 (2010) 1119 MR2669709
73
Y Toda , Curve counting
theories via stable objects, II : DT/ncDT flop formula ,
J. Reine Angew. Math. 675 (2013) 1 MR3021446
74
Y Toda , Hall algebras in the
derived category and higher-rank DT invariants , Algebr.
Geom. 7 (2020) 240 MR4087861
75
B Totaro , The resolution
property for schemes and stacks , J. Reine Angew. Math.
577 (2004) 1 MR2108211
76
C A Weibel ,
Homotopy
algebraic K -theory , from:
"Algebraic K -theory and algebraic
number theory" (editors M R Stein, R K Dennis),
Contemp. Math. 83, Amer. Math. Soc. (1989) 461 MR991991