References
- [AHI et al. 97] O. Aharony, A. Hanany, K. A. Intriligator, N. Seiberg, and M. J. Strassler, “Aspects of N=2 Supersymmetric Gauge Theories in Three-Dimensions.” Nucl. Phys. B499 (1997), 67–99.
- [Chapoton et al. 02] F. Chapoton, S. Fomin, and A. Zelevinsky, “Polytopal Realizations of Generalized Associahedra.” Canad. Math. Bull. 45:2 (2002), 537–566, Dedicated to Robert V. Moody. MR 1941227 (2003j:52014).
- [Dimofte et al. 13] T. Dimofte, D. Gaiotto, and S. Gukov, “3-Manifolds and 3d Indices.” Adv. Theor. Math. Phys. 17:5 (2013), 975–1076.
- [Dimofte et al. 11] T. Dimofte, S. Gukov, and Y. Soibelman. “Quantum Wall Crossing in N=2 Gauge Theories.” Lett. Math. Phys. 95 (2011), 1–25.
- [Faddeev and Kashaev 94] L. D. Faddeev and R. M. Kashaev. “Quantum Dilogarithm.” Mod. Phys. Lett. A9 (1994), 427–434.
- [FST08] S. Fomin, M. Shapiro, and D. Thurston. “Cluster Algebras and Triangulated Surfaces. I. Cluster Complexes.” Acta Math. 201:1 (2008), 83–146. MR 2448067
- [Fomin and Thurston 12] S. Fomin and D. Thurston. “Cluster Algebras and Triangulated Surfaces. Part ii: Lambda Lengths.” arXiv:1210.5569.
- [FV93] L. D. Faddeev and A. Yu. Volkov. “Abelian Current Algebra and the Virasoro Algebra on the Lattice.” Phys. Lett. B315 (1993), 311–318.
- [Fomin and Zelevinsky 02] S. Fomin and A. Zelevinsky. “Cluster Algebras. I. Foundations.” J. Amer. Math. Soc. 15:2 (2002), 497–529 (electronic). MR 1887642 (2003f:16050)
- [Fomin and Zelevinsky 03] — “Cluster Algebras. II. Finite Type Classification.” Invent. Math. 154:1 (2003), 63–121. MR 2004457 (2004m:17011)
- [Fomin and Zelevinsky 07] — “Cluster Algebras. IV. Coefficients.” Compos. Math. 143:1 (2007), 112–164. MR 2295199 (2008d:16049)
- [Gang 16] D. Gang, N. Kim, M. Romo, and M. Yamazaki. “Aspects of Defects in 3d–3d Correspondence.” JHEP 10 (2016), 062.
- [Gliozzi and Tateo 96] F. Gliozzi and R. Tateo. “Thermodynamic Bethe Ansatz and Threefold Triangulations.” Int. J. Mod. Phys. A11 (1996), 4051–4064.
- [Harer 86] J. L. Harer. “The Virtual Cohomological Dimension of the Mapping Class Group of an Orientable Surface.” Invent. Math. 84:1 (1986), 157–176. MR 830043
- [Ip and Yamazaki 16] I. Chi-Ho Ip and M. Yamazaki. Quantum Dilogarithm Identities at Root of Unity. Int. Math. Res. Not. 2016 (2016), 669.
- [Keller 11] B. Keller. “On Cluster Theory and Quantum Dilogarithm Identities, Representations of Algebras and Related Topics.” EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich 2011, 85–116. MR 2931896
- [Keller 13] — “The Periodicity Conjecture for Pairs of Dynkin Diagrams.” Ann. of Math. (2) 177:1 (2013), 111–170. MR 2999039
- [Kuniba and Nakanishi 92] A. Kuniba and T. Nakanishi. “Spectra in Conformal Field Theories from the Rogers dilogarithm.” Mod. Phys. Lett. A7 (1992), 3487–3494.
- [Kashaev and Nakanishi 11] R. M. Kashaev and T. Nakanishi. “Classical and Quantum Dilogarithm Identities.” SIGMA Symmetry Integrab. Geom. Methods Appl. 7 (2011), Paper 102, 29. MR 2861174
- [Kontsevich and Soibelman 08] Maxim Kontsevich and Yan Soibelman. “Stability Structures, Motivic Donaldson–Thomas Invariants and Cluster Transformations.”
- [Kuroki ] Gen Kuroki. “How to Obtain Quantum Dilogarithm Identities—An Explanation with G2 Dilogarithm Identity as an Example.” Preprint available from World Wide Web (http://www.math.tohoku.ac.jp/kuroki/LaTeX/20101228HowToMakeQDIs.pdf) (in Japanese).
- [Nakanishi 11] T. Nakanishi. “Periodicities in Cluster Algebras and Dilogarithm Identities.” Representations of algebras and related topics, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011, 407–443. MR 2931902
- [Reineke 10] M. Reineke. “Poisson Automorphisms and Quiver Moduli.” J. Inst. Math. Jussieu 9:3 (2010), 653–667. MR 2650811 (2011h:16021)
- [Rog06] L. J. Rogers. “On Function Sum Theorems Connected with the Series Formula.” Proc. London Math. Soc. S2-4:1 (1906), 169. MR 1576083
- [Terashima and Yamazaki 14] Yuji Terashima and Masahito Yamazaki. “3d N=2 Theories From Cluster Algebras.” PTEP 023 (2014), B01.
- [Warkentin 14] M. Warkentin. Exchange graphs via quiver mutation, Ph.D. thesis, Technische Universität Chemnitz, 2014, Preprint available from World Wide Web (http://www.qucosa.de/fileadmin/data/qucosa/documents/15317/Dissertation\_Matthias\_Warkentin.pdf).
- [Wojtkowiak 96] Z. Wojtkowiak. “Functional Equations of Iterated Integrals With Regular Singularities.” Nagoya Math. J. 142 (1996), 145–159. MR 1399471
- [Zagier 07] D. Zagier. “The dilogarithm function. Frontiers in number theory, physics, and geometry. II. Berlin: Springer, 2007, pp. 3–65. MR 2290758
- [Zamolodchikov 91] A. B. Zamolodchikov. “On the Thermodynamic Bethe Ansatz Equations for Reflectionless ADE Scattering Theories.” Phys. Lett. B253 (1991), 391–394.