Dong, Jinlei; Li, Fang On Galois theory of cluster algebras: general and that from Riemann surfaces. arXiv:2402.18029 Preprint, arXiv:2402.18029 [math.RT] (2024). MSC: 13F60 57K20 BibTeX Cite \textit{J. Dong} and \textit{F. Li}, ``On Galois theory of cluster algebras: general and that from Riemann surfaces'', Preprint, arXiv:2402.18029 [math.RT] (2024) Full Text: arXiv OA License
Manturov, Vassily Olegovich; Kim, Seongjeong The groups \(G_{n}^{k}\) and \(2n\)-gon tilings. arXiv:2401.15345 Preprint, arXiv:2401.15345 [math.GT] (2024). MSC: 20F36 57K20 57K31 13F60 BibTeX Cite \textit{V. O. Manturov} and \textit{S. Kim}, ``The groups $G_{n}^{k}$ and $2n$-gon tilings'', Preprint, arXiv:2401.15345 [math.GT] (2024) Full Text: arXiv OA License
Manturov, Vassily Olegovich; Wan, Zheyan The photography method: solving pentagon equation. (English) Zbl 07782616 J. Knot Theory Ramifications 32, No. 11, Article ID 2350074, 11 p. (2023). MSC: 13F60 20F36 57K20 57K31 PDFBibTeX XMLCite \textit{V. O. Manturov} and \textit{Z. Wan}, J. Knot Theory Ramifications 32, No. 11, Article ID 2350074, 11 p. (2023; Zbl 07782616) Full Text: DOI arXiv
Schweigert, Christoph; Woike, Lukas The differential graded Verlinde formula and the Deligne conjecture. (English) Zbl 07740461 Proc. Lond. Math. Soc. (3) 126, No. 6, 1811-1841 (2023). MSC: 18M20 13D03 57K16 57K20 PDFBibTeX XMLCite \textit{C. Schweigert} and \textit{L. Woike}, Proc. Lond. Math. Soc. (3) 126, No. 6, 1811--1841 (2023; Zbl 07740461) Full Text: DOI arXiv
Kim, Hyun Kyu; Thang T. Q. Lê; Son, Miri \(\mathrm{SL}_2\) quantum trace in quantum Teichmüller theory via writhe. (English) Zbl 1523.57018 Algebr. Geom. Topol. 23, No. 1, 339-418 (2023). MSC: 57K20 13F60 32G15 46L85 53D55 81R60 83C45 PDFBibTeX XMLCite \textit{H. K. Kim} et al., Algebr. Geom. Topol. 23, No. 1, 339--418 (2023; Zbl 1523.57018) Full Text: DOI arXiv
Müller, Lukas; Woike, Lukas The diffeomorphism group of the solid closed torus and Hochschild homology. (English) Zbl 07676292 Proc. Am. Math. Soc. 151, No. 6, 2311-2324 (2023). MSC: 13D03 18M15 57K20 PDFBibTeX XMLCite \textit{L. Müller} and \textit{L. Woike}, Proc. Am. Math. Soc. 151, No. 6, 2311--2324 (2023; Zbl 07676292) Full Text: DOI arXiv
Ishibashi, Tsukasa; Yuasa, Wataru Skein and cluster algebras of unpunctured surfaces for \({\mathfrak{sl}}_3\). (English) Zbl 1516.13023 Math. Z. 303, No. 3, Paper No. 72, 60 p. (2023). MSC: 13F60 57K31 57K20 PDFBibTeX XMLCite \textit{T. Ishibashi} and \textit{W. Yuasa}, Math. Z. 303, No. 3, Paper No. 72, 60 p. (2023; Zbl 1516.13023) Full Text: DOI arXiv
Ishibashi, Tsukasa; Kano, Shunsuke; Yuasa, Wataru Skein and cluster algebras with coefficients for unpunctured surfaces. arXiv:2312.02861 Preprint, arXiv:2312.02861 [math.GT] (2023). MSC: 13F60 57K31 57K20 BibTeX Cite \textit{T. Ishibashi} et al., ``Skein and cluster algebras with coefficients for unpunctured surfaces'', Preprint, arXiv:2312.02861 [math.GT] (2023) Full Text: arXiv OA License
Shen, Linhui; Sun, Zhe; Weng, Daping Intersections of Dual \(SL_3\)-Webs. arXiv:2311.15466 Preprint, arXiv:2311.15466 [math.GT] (2023). MSC: 57K31 57K20 57M15 13F60 32G15 BibTeX Cite \textit{L. Shen} et al., ``Intersections of Dual $SL_3$-Webs'', Preprint, arXiv:2311.15466 [math.GT] (2023) Full Text: arXiv OA License
Kim, Hyun Kyu A trilogy of mapping class group representations from three-dimensional quantum gravity. arXiv:2308.02934 Preprint, arXiv:2308.02934 [math.GT] (2023). MSC: 57K20 13F60 81R60 83C45 20C35 BibTeX Cite \textit{H. K. Kim}, ``A trilogy of mapping class group representations from three-dimensional quantum gravity'', Preprint, arXiv:2308.02934 [math.GT] (2023) Full Text: arXiv OA License
Geiß, Christof; Labardini-Fragoso, Daniel; Wilson, Jon Laminations of punctured surfaces as \(\tau\)-reduced irreducible components. arXiv:2308.00792 Preprint, arXiv:2308.00792 [math.RT] (2023). MSC: 16G20 13F60 57K20 BibTeX Cite \textit{C. Geiß} et al., ``Laminations of punctured surfaces as $\tau$-reduced irreducible components'', Preprint, arXiv:2308.00792 [math.RT] (2023) Full Text: arXiv OA License
Dong, Jinlei; Li, Fang Presentations of mapping class groups and an application to cluster algebras from surfaces. arXiv:2307.15227 Preprint, arXiv:2307.15227 [math.GT] (2023). MSC: 57K20 13F60 BibTeX Cite \textit{J. Dong} and \textit{F. Li}, ``Presentations of mapping class groups and an application to cluster algebras from surfaces'', Preprint, arXiv:2307.15227 [math.GT] (2023) Full Text: arXiv OA License
Geiß, Christof; Labardini-Fragoso, Daniel On the resolution of kinks of curves on punctured surfaces. arXiv:2307.11376 Preprint, arXiv:2307.11376 [math.GT] (2023). MSC: 57K20 13F60 18B40 BibTeX Cite \textit{C. Geiß} and \textit{D. Labardini-Fragoso}, ``On the resolution of kinks of curves on punctured surfaces'', Preprint, arXiv:2307.11376 [math.GT] (2023) Full Text: arXiv OA License
Manturov, Vassily Olegovich; Nikonov, Igor Mikhailovich The groups \(\Gamma_{n}^{4}\), braids, and \(3\)-manifolds. arXiv:2305.06316 Preprint, arXiv:2305.06316 [math.GT] (2023). MSC: 20F36 57K20 57K31 13F60 BibTeX Cite \textit{V. O. Manturov} and \textit{I. M. Nikonov}, ``The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds'', Preprint, arXiv:2305.06316 [math.GT] (2023) Full Text: arXiv OA License
Ishibashi, Tsukasa Teichmüller and lamination spaces with pinnings. arXiv:2212.14780 Preprint, arXiv:2212.14780 [math.GT] (2022). MSC: 57K20 13F60 57K31 BibTeX Cite \textit{T. Ishibashi}, ``Teichm\"uller and lamination spaces with pinnings'', Preprint, arXiv:2212.14780 [math.GT] (2022) Full Text: arXiv OA License
Ishibashi, Tsukasa; Yuasa, Wataru Skein and cluster algebras of unpunctured surfaces for \(\mathfrak{sp}_4\). arXiv:2207.01540 Preprint, arXiv:2207.01540 [math.GT] (2022). MSC: 13F60 57K31 57K20 BibTeX Cite \textit{T. Ishibashi} and \textit{W. Yuasa}, ``Skein and cluster algebras of unpunctured surfaces for $\mathfrak{sp}_4$'', Preprint, arXiv:2207.01540 [math.GT] (2022) Full Text: arXiv OA License
Moon, Han-Bom; Wong, Helen Consequences of the compatibility of skein algebra and cluster algebra on surfaces. arXiv:2201.08833 Preprint, arXiv:2201.08833 [math.GT] (2022). MSC: 57K31 13F60 57K20 BibTeX Cite \textit{H.-B. Moon} and \textit{H. Wong}, ``Consequences of the compatibility of skein algebra and cluster algebra on surfaces'', Preprint, arXiv:2201.08833 [math.GT] (2022) Full Text: arXiv OA License
Kim, Hyun Kyu; Scarinci, Carlos A quantization of moduli spaces of 3-dimensional gravity. arXiv:2112.13329 Preprint, arXiv:2112.13329 [math-ph] (2021). MSC: 13F60 53D55 57K20 57K35 81R60 83C45 BibTeX Cite \textit{H. K. Kim} and \textit{C. Scarinci}, ``A quantization of moduli spaces of 3-dimensional gravity'', Preprint, arXiv:2112.13329 [math-ph] (2021) Full Text: arXiv OA License
Kim, Hyun Kyu The mutation compatibility of the \({\rm SL}_3\) quantum trace maps for surfaces. arXiv:2104.06286 Preprint, arXiv:2104.06286 [math.QA] (2021). MSC: 13F60 57K31 53D55 57K20 BibTeX Cite \textit{H. K. Kim}, ``The mutation compatibility of the ${\rm SL}_3$ quantum trace maps for surfaces'', Preprint, arXiv:2104.06286 [math.QA] (2021) Full Text: arXiv OA License
Yurikusa, Toshiya Density of \(g\)-vector cones from triangulated surfaces. (English) Zbl 1467.16016 Int. Math. Res. Not. 2020, No. 21, 8081-8119 (2020). MSC: 16G20 05E16 13F60 57K20 PDFBibTeX XMLCite \textit{T. Yurikusa}, Int. Math. Res. Not. 2020, No. 21, 8081--8119 (2020; Zbl 1467.16016) Full Text: DOI arXiv
Wilson, Jon Laurent phenomenon algebras arising from surfaces. II: Laminated surfaces. (English) Zbl 1468.13053 Sel. Math., New Ser. 26, No. 5, Paper No. 72, 52 p. (2020). MSC: 13F60 57K20 32G15 16G20 PDFBibTeX XMLCite \textit{J. Wilson}, Sel. Math., New Ser. 26, No. 5, Paper No. 72, 52 p. (2020; Zbl 1468.13053) Full Text: DOI arXiv
Booker-Price, Thomas Graded cluster algebras arising from marked surfaces. (English) Zbl 1455.13037 J. Algebra 560, 89-113 (2020). MSC: 13F60 16G20 57K20 PDFBibTeX XMLCite \textit{T. Booker-Price}, J. Algebra 560, 89--113 (2020; Zbl 1455.13037) Full Text: DOI
Ishibashi, Tsukasa Presentations of cluster modular groups and generation by cluster Dehn twists. (English) Zbl 1439.13054 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 025, 22 p. (2020). MSC: 13F60 05E16 30F60 PDFBibTeX XMLCite \textit{T. Ishibashi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 025, 22 p. (2020; Zbl 1439.13054) Full Text: DOI arXiv
Cho, So Young; Kim, Hyuna; Kim, Hyun Kyu; Oh, Doeun Laurent positivity of quantized canonical bases for quantum cluster varieties from surfaces. (English) Zbl 1436.13046 Commun. Math. Phys. 373, No. 2, 655-705 (2020). MSC: 13F60 57K20 05C62 PDFBibTeX XMLCite \textit{S. Y. Cho} et al., Commun. Math. Phys. 373, No. 2, 655--705 (2020; Zbl 1436.13046) Full Text: DOI arXiv
Qiu, Yu The braid group for a quiver with superpotential. (English) Zbl 1476.20038 Sci. China, Math. 62, No. 7, 1241-1256 (2019). MSC: 20F36 13F60 18G80 16G20 PDFBibTeX XMLCite \textit{Y. Qiu}, Sci. China, Math. 62, No. 7, 1241--1256 (2019; Zbl 1476.20038) Full Text: DOI arXiv
Ishibashi, Tsukasa On a Nielsen-Thurston classification theory for cluster modular groups. (Sur une théorie de classification Nielsen-Thurston pour les groupes modulaires de cluster.) (English. French summary) Zbl 1442.13071 Ann. Inst. Fourier 69, No. 2, 515-560 (2019). MSC: 13F60 30F60 57M50 PDFBibTeX XMLCite \textit{T. Ishibashi}, Ann. Inst. Fourier 69, No. 2, 515--560 (2019; Zbl 1442.13071) Full Text: DOI arXiv
Schrader, Gus; Shapiro, Alexander A cluster realization of \(U_q(\mathfrak {sl}_{\mathfrak {n}})\) from quantum character varieties. (English) Zbl 1451.17006 Invent. Math. 216, No. 3, 799-846 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 13F60 14M35 PDFBibTeX XMLCite \textit{G. Schrader} and \textit{A. Shapiro}, Invent. Math. 216, No. 3, 799--846 (2019; Zbl 1451.17006) Full Text: DOI arXiv
Amiot, Claire Cluster algebras and cluster categories associated with triangulated surfaces: an introduction. (English) Zbl 1440.13098 Winter Braids Lect. Notes 5, Exp. No. 1, 14 p. (2018). MSC: 13F60 16G10 16E35 16G20 16G70 57K20 18G80 16-02 13-02 PDFBibTeX XMLCite \textit{C. Amiot}, Winter Braids Lect. Notes 5, Exp. No. 1, 14 p. (2018; Zbl 1440.13098) Full Text: DOI
Kaden, Holger; King, Simon Aspects of TQFT and computational algebra. (English) Zbl 1435.57024 Metzler, Wolfgang (ed.) et al., Advances in two-dimensional homotopy and combinatorial group theory. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 446, 36-71 (2018). MSC: 57R56 13P10 13P25 57K20 PDFBibTeX XMLCite \textit{H. Kaden} and \textit{S. King}, Lond. Math. Soc. Lect. Note Ser. 446, 36--71 (2018; Zbl 1435.57024) Full Text: DOI
Bucher, Eric; Yakimov, Milen Recovering the topology of surfaces from cluster algebras. (English) Zbl 1422.57063 Math. Z. 288, No. 1-2, 565-594 (2018). MSC: 57Q15 13F60 52B70 16W20 05E15 PDFBibTeX XMLCite \textit{E. Bucher} and \textit{M. Yakimov}, Math. Z. 288, No. 1--2, 565--594 (2018; Zbl 1422.57063) Full Text: DOI arXiv Link
Lawson, John W. Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras. (English) Zbl 1375.13035 Electron. J. Comb. 23, No. 4, Research Paper P4.41, 33 p. (2016). MSC: 13F60 20F34 PDFBibTeX XMLCite \textit{J. W. Lawson}, Electron. J. Comb. 23, No. 4, Research Paper P4.41, 33 p. (2016; Zbl 1375.13035) Full Text: arXiv Link
Goldman, William M.; Xia, Eugene Z. Action of the Johnson-Torelli group on representation varieties. (English) Zbl 1244.57007 Proc. Am. Math. Soc. 140, No. 4, 1449-1457 (2012). Reviewer: Frederic Palesi (Sherbrooke) MSC: 57M05 22D40 20F34 13P10 PDFBibTeX XMLCite \textit{W. M. Goldman} and \textit{E. Z. Xia}, Proc. Am. Math. Soc. 140, No. 4, 1449--1457 (2012; Zbl 1244.57007) Full Text: DOI arXiv
Cristante, Valentino Witt realization of the \(p\)-adic Barsotti-Tate groups; some applications. (English) Zbl 0817.14026 \(p\)-adic analysis, Proc. Int. Conf., Trento/Italy 1989, Lect. Notes Math. 1454, 205-216 (1990). MSC: 14L05 11S31 13K05 14K05 PDFBibTeX XMLCite \textit{V. Cristante}, Lect. Notes Math. None, 205--216 (1990; Zbl 0817.14026)
Kawada, Yukiyoshi; Sekiguchi, Koji Local class field theory in characteristic p. (Japanese) Zbl 0689.12011 Sophia Kokyuroku in Mathematics, 30. Tokyo: Sophia Univ., Dept. of Mathematics. vi, 198 p. (1989). Reviewer: Zhang Xianke MSC: 11S31 11S15 13K05 12-02 13F25 PDFBibTeX XMLCite \textit{Y. Kawada} and \textit{K. Sekiguchi}, Local class field theory in characteristic p (Japanese). Tokyo: Sophia Univ., Dept. of Mathematics (1989; Zbl 0689.12011)