Geometry & Topology Volume 16, issue 4 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

MPS degeneration formula for quiver moduli and refined GW/Kronecker correspondence

Markus Reineke, Jacopo Stoppa and Thorsten Weist

Geometry & Topology 16 (2012) 2097–2134

DOI: 10.2140/gt.2012.16.2097

Bibliography

1	T Bridgeland, An introduction to motivic Hall algebras, Adv. Math. 229 (2012) 102 MR2854172
2	J Engel, M Reineke, Smooth models of quiver moduli, Math. Z. 262 (2009) 817 MR2511752
3	A Gathmann, H Markwig, The numbers of tropical plane curves through points in general position, J. Reine Angew. Math. 602 (2007) 155 MR2300455
4	M Gross, R Pandharipande, Quivers, curves, and the tropical vertex, Port. Math. 67 (2010) 211 MR2662867
5	M Gross, R Pandharipande, B Siebert, The tropical vertex, Duke Math. J. 153 (2010) 297 MR2667135
6	E N Ionel, T H Parker, Relative Gromov–Witten invariants, Ann. of Math. 157 (2003) 45 MR1954264
7	A D King, Moduli of representations of finite-dimensional algebras, Quart. J. Math. Oxford Ser. 45 (1994) 515 MR1315461
8	M Kontsevich, Y Soibelman, Affine structures and non-Archimedean analytic spaces, from: "The unity of mathematics" (editors P Etingof, V Retakh, I Singer), Progr. Math. 244, Birkhäuser (2006) 321 MR2181810
9	A M Li, Y Ruan, Symplectic surgery and Gromov–Witten invariants of Calabi–Yau $3$–folds, Invent. Math. 145 (2001) 151 MR1839289
10	J Li, A degeneration formula of GW-invariants, J. Differential Geom. 60 (2002) 199 MR1938113
11	I G Macdonald, Symmetric functions and Hall polynomials, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press (1995) MR1354144
12	J Manschot, BPS invariants of semi-stable sheaves on rational surfaces arXiv:1109.4861
13	J Manschot, B Pioline, A Sen, Wall crossing from Boltzmann black hole halos, J. High Energy Phys. (2011) 059, 73 MR2875965
14	G Mikhalkin, Enumerative tropical algebraic geometry in $\mathbb R^2$, J. Amer. Math. Soc. 18 (2005) 313 MR2137980
15	M Reineke, The Harder–Narasimhan system in quantum groups and cohomology of quiver moduli, Invent. Math. 152 (2003) 349 MR1974891
16	M Reineke, Poisson automorphisms and quiver moduli, J. Inst. Math. Jussieu 9 (2010) 653 MR2650811
17	M Reineke, T Weist, Refined GW/Kronecker correspondence arXiv:1103.5283
18	J Stoppa, Universal covers and the GW/Kronecker correspondence, Commun. Number Theory Phys. 5 (2011) 353 MR2851154
19	T Weist, Localization in quiver moduli spaces arXiv:0903.5442v2