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Motivic Donaldson–Thomas invariants for the one-loop quiver with potential

Ben Davison and Sven Meinhardt

Geometry & Topology 19 (2015) 2535–2555
Bibliography
1 K Behrend, Donaldson–Thomas type invariants via microlocal geometry, Ann. of Math. 170 (2009) 1307 MR2600874
2 K Behrend, J Bryan, B Szendrői, Motivic degree zero Donaldson–Thomas invariants, Invent. Math. 192 (2013) 111 MR3032328
3 A Białynicki-Birula, Some theorems on actions of algebraic groups, Ann. of Math. 98 (1973) 480 MR0366940
4 A Białynicki-Birula, Some properties of the decompositions of algebraic varieties determined by actions of a torus, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24 (1976) 667 MR0453766
5 J Denef, F Loeser, Geometry on arc spaces of algebraic varieties, from: "European Congress of Mathematics, Volume I" (editors C Casacuberta, R M Miró-Roig, J Verdera, S Xambó-Descamps), Progr. Math. 201, Birkhäuser, Basel (2001) 327 MR1905328
6 J Denef, F Loeser, Lefschetz numbers of iterates of the monodromy and truncated arcs, Topology 41 (2002) 1031 MR1923998
7 T Ekedahl, The Grothendieck group of algebraic stacks, arXiv:0903.3143
8 J Engel, M Reineke, Smooth models of quiver moduli, Math. Z. 262 (2009) 817 MR2511752
9 D Joyce, Configurations in abelian categories, I : Basic properties and moduli stacks, Adv. Math. 203 (2006) 194 MR2231046
10 D Joyce, Configurations in abelian categories, II : Ringel–Hall algebras, Adv. Math. 210 (2007) 635 MR2303235
11 D Joyce, Configurations in abelian categories, III : Stability conditions and identities, Adv. Math. 215 (2007) 153 MR2354988
12 D Joyce, Motivic invariants of Artin stacks and “stack functions”, Q. J. Math. 58 (2007) 345 MR2354923
13 D Joyce, Configurations in abelian categories, IV : Invariants and changing stability conditions, Adv. Math. 217 (2008) 125 MR2357325
14 D Joyce, Y Song, A theory of generalized Donaldson–Thomas invariants, 1020, Amer. Math. Soc. (2012) MR2951762
15 M Kontsevich, Y Soibelman, Stability structures, motivic Donaldson–Thomas invariants and cluster transformations, arXiv:0811.2435
16 M Kontsevich, Y Soibelman, Motivic Donaldson–Thomas invariants : Summary of results, from: "Mirror symmetry and tropical geometry" (editors R Castaño-Bernard, Y Soibelman, I Zharkov), Contemp. Math. 527, Amer. Math. Soc. (2010) 55 MR2681792
17 M Kontsevich, Y Soibelman, Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson–Thomas invariants, Commun. Number Theory Phys. 5 (2011) 231 MR2851153
18 A Kresch, Cycle groups for Artin stacks, Invent. Math. 138 (1999) 495 MR1719823
19 Q T Lê, Proofs of the integral identity conjecture over algebraically closed fields, Duke Math. J. 164 (2015) 157 MR3299104
20 D Maulik, Motivic residues and Donaldson–Thomas theory, preprint
21 A Morrison, S Mozgovoy, K Nagao, B Szendrői, Motivic Donaldson–Thomas invariants of the conifold and the refined topological vertex, Adv. Math. 230 (2012) 2065 MR2927365
22 S Mozgovoy, On the motivic Donaldson–Thomas invariants of quivers with potentials, Math. Res. Lett. 20 (2013) 107 MR3126726
23 S Mozgovoy, Wall-crossing formulas for framed objects, Q. J. Math. 64 (2013) 489 MR3063519
24 R P Thomas, A holomorphic Casson invariant for Calabi–Yau 3–folds, and bundles on K3 fibrations, J. Differential Geom. 54 (2000) 367 MR1818182