Riemann-Hilbert problems from Donaldson-Thomas theory

A. Voros, Spectral Functions, Special Functions and the Selberg Zeta Function. Commun. Math. Phys. 110, 439-465, 1987

1987

Earlier work this paper cites.

E.T. Whittaker and G.N. Watson, A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions. Reprint of the fourth (1927) edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1996. vi+608 pp

1996

Earlier work this paper cites.

B. Dubrovin, Painlevé transcendents in two-dimensional topological field theory, The Painlevé property, 287–412, CRM Ser. Math. Phys., Springer, New York, 1999

1999

Earlier work this paper cites.

C. Faber and R. Pandharipande, Hodge integrals and Gromov-Witten theory. Invent. Math. 139 (2000), no. 1, 173–199

2000

Earlier work this paper cites.

R. Pandharipande, Three questions in Gromov-Witten theory, Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 503–512, Higher Ed. Press, Beijing, 2002

2002

Earlier work this paper cites.

D. Maulik, N. Nekrasov, A. Okounkov and R. Pandharipande, Gromov-Witten theory and Donaldson-Thomas theory. I. Compos. Math. 142 (2006), no. 5, 1263–1285

2006

Earlier work this paper cites.

A. Okounkov and N. Nekrasov, Seiberg-Witten theory and random partitions. The unity of mathematics, 525–596, Progr. Math., 244, Birkhäuser, Boston, MA, 2006

2006

Earlier work this paper cites.

T. Bridgeland, Stability conditions on triangulated categories. Ann. of Math. (2) 166 (2007), no. 2, 31–345

2007

Cited alongside, same era.

D. Gaiotto, G. Moore and A. Neitzke, Four-dimensional wall-crossing via three-dimensional field theory. Comm. Math. Phys. 299 (2010), no. 1, 163–224

2010

Cited alongside, same era.

M. Gross and R. Pandharipande, Quivers, curves and the tropical vertex, Port. Math. 67 (2010), no. 2, 211–259

2010

Cited alongside, same era.

T. Bridgeland, Hall algebras and curve-counting invariants. J. Amer. Math. Soc. 24 (2011), no. 4, 969–998

2011

Cited alongside, same era.

M. Reineke, Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants, Compos. Math. 147 (2011), no. 3, 943–964

2011

Cited alongside, same era.

D. Gaiotto, G. Moore and A. Neitzke, Wall-crossing, Hitchin systems, and the WKB approximation. Adv. Math. 234 (2013), 239–403

2013

Later among the works it cites.

K. Iwaki and T. Nakanishi, Exact WKB analysis and cluster algebras, J. Phys. A (2014), no. 47, 98 pp

2014

Later among the works it cites.

M. Kontsevich and Y. Soibelman, Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and mirror symmetry. Homological mirror symmetry and tropical geometry, 197–308, Lect. Notes Unione Mat. Ital., 15, Springer, Cham, 2014

2014

Later among the works it cites.

T. Bridgeland, Hall algebras and Donaldson-Thomas invariants, to appear, Proceedings of the 2015 AMS algebraic geometry symposium, Salt Lake City

2015

Later among the works it cites.

T. Bridgeland and I. Smith, Quadratic differentials as stability conditions. Publ. Math. Inst. Hautes Etudes Sci. 121 (2015), 155–278