Geometry & Topology Volume 13, issue 4 (2009)

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Polynomial Bridgeland stability conditions and the large volume limit

Arend Bayer

Geometry & Topology 13 (2009) 2389–2425

DOI: 10.2140/gt.2009.13.2389

Bibliography

1	D Arcara, A Bertram, M Lieblich, Bridgeland-stable moduli spaces for K-trivial surfaces arXiv:0708.2247
2	P S Aspinwall, A point's point of view of stringy geometry, J. High Energy Phys. 1 (2003) MR1970097
3	P S Aspinwall, M R Douglas, D-brane stability and monodromy, J. High Energy Phys. 5 (2002) MR1915365
4	P S Aspinwall, A Lawrence, Derived categories and zero-brane stability, J. High Energy Phys. 8 (2001) MR1867069
5	K Behrend, Donaldson–Thomas invariants via microlocal geometry, to appear in Ann. of Math. $(2)$ arXiv:math/0507523
6	R Bezrukavnikov, Perverse coherent sheaves (after Deligne) arXiv:math.AG/0005152
7	A Bondal, D Orlov, Reconstruction of a variety from the derived category and groups of autoequivalences, Compositio Math. 125 (2001) 327 MR1818984
8	T Bridgeland, Stability conditions on a non-compact Calabi–Yau threefold, Comm. Math. Phys. 266 (2006) 715 MR2238896
9	T Bridgeland, Stability conditions on triangulated categories, Ann. of Math. $(2)$ 166 (2007) 317 MR2373143
10	T Bridgeland, Stability conditions on $K3$ surfaces, Duke Math. J. 141 (2008) 241 MR2376815
11	I Burban, B Kreußler, Derived categories of irreducible projective curves of arithmetic genus one, Compos. Math. 142 (2006) 1231 MR2264663
12	A Craw, A Ishii, Flops of $G$–Hilb and equivalences of derived categories by variation of GIT quotient, Duke Math. J. 124 (2004) 259 MR2078369
13	M R Douglas, Dirichlet branes, homological mirror symmetry, and stability, from: "Proceedings of the International Congress of Mathematicians, Vol. III (Beijing, 2002)", Higher Ed. Press (2002) 395 MR1957548
14	A L Gorodentsev, S A Kuleshov, A N Rudakov, $t$–stabilities and $t$–structures on triangulated categories, Izv. Ross. Akad. Nauk Ser. Mat. 68 (2004) 117 MR2084563
15	D Happel, I Reiten, S O Smalø, Tilting in abelian categories and quasitilted algebras, Mem. Amer. Math. Soc. 120 (1996) MR1327209
16	D Huybrechts, Fourier–Mukai transforms in algebraic geometry, Oxford Math. Monogr., The Clarendon Press, Oxford Univ. Press (2006) MR2244106
17	D Huybrechts, E Macrì, P Stellari, Stability conditions for generic $K3$ categories, Compos. Math. 144 (2008) 134 MR2388559
18	M a Inaba, Toward a definition of moduli of complexes of coherent sheaves on a projective scheme, J. Math. Kyoto Univ. 42 (2002) 317 MR1966840
19	D Joyce, Configurations in abelian categories. IV. Invariants and changing stability conditions, Adv. Math. 217 (2008) 125 MR2357325
20	M Kashiwara, $t$–structures on the derived categories of holonomic $\mathcal D$–modules and coherent $\mathcal O$–modules, Mosc. Math. J. 4 (2004) 847, 981 MR2124169
21	J Kollár, Projectivity of complete moduli, J. Differential Geom. 32 (1990) 235 MR1064874
22	J Le Potier, Faisceaux semi-stables et systèmes cohérents, from: "Vector bundles in algebraic geometry (Durham, 1993)" (editors N J Hitchin, P E Newstead, W M Oxbury), London Math. Soc. Lecture Note Ser. 208, Cambridge Univ. Press (1995) 179 MR1338417
23	M Lieblich, Moduli of complexes on a proper morphism, J. Algebraic Geom. 15 (2006) 175 MR2177199
24	E Macrì, Some examples of moduli spaces of stability conditions on derived categories arXiv:math.AG/0411613
25	E Macrì, Stability conditions on curves, Math. Res. Lett. 14 (2007) 657 MR2335991
26	E Macrì, S Mehrotra, P Stellari, Inducing stability conditions arXiv:0705.3752
27	D Maulik, N Nekrasov, A Okounkov, R Pandharipande, Gromov–Witten theory and Donaldson–Thomas theory. I, Compos. Math. 142 (2006) 1263 MR2264664
28	S Meinhardt, Stability conditions on generic complex tori arXiv:0708.3053
29	S Okada, Stability manifold of $\mathbb{P}^1$, J. Algebraic Geom. 15 (2006) 487 MR2219846
30	R Pandharipande, R Thomas, Curve counting via stable pairs in the derived category arXiv:0707.2348
31	R Pandharipande, R Thomas, Stable pairs and BPS invariants arXiv:0711.3899
32	A Polishchuk, Constant families of $t$–structures on derived categories of coherent sheaves, Mosc. Math. J. 7 (2007) 109 MR2324559
33	A Rudakov, Stability for an abelian category, J. Algebra 197 (1997) 231 MR1480783
34	Y Toda, Limit stable objects on Calabi–Yau $3$–folds arXiv:0803.2356
35	Y Toda, Moduli stacks and invariants of semistable objects on K3 surfaces arXiv:math/0703590
36	Y Toda, Birational Calabi–Yau threefolds and BPS state counting, Commun. Number Theory Phys. 2 (2008) 63 MR2417847
37	Y Toda, Stability conditions and crepant small resolutions, Trans. Amer. Math. Soc. 360 (2008) 6149 MR2425708