Bousseau, Pierrick A proof of N. Takahashi’s conjecture for \(( \mathbb{P}^2, E)\) and a refined sheaves/Gromov-Witten correspondence. (English) Zbl 07783733 Duke Math. J. 172, No. 15, 2895-2955 (2023). MSC: 14N35 PDFBibTeX XMLCite \textit{P. Bousseau}, Duke Math. J. 172, No. 15, 2895--2955 (2023; Zbl 07783733) Full Text: DOI arXiv Link
Maulik, Davesh; Shen, Junliang Cohomological \(\chi\)-independence for moduli of one-dimensional sheaves and moduli of Higgs bundles. (English) Zbl 1514.14038 Geom. Topol. 27, No. 4, 1539-1586 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H60 14J60 14N35 32S60 PDFBibTeX XMLCite \textit{D. Maulik} and \textit{J. Shen}, Geom. Topol. 27, No. 4, 1539--1586 (2023; Zbl 1514.14038) Full Text: DOI arXiv
Toda, Yukinobu Gopakumar-Vafa invariants and wall-crossing. (English) Zbl 07690280 J. Differ. Geom. 123, No. 1, 141-193 (2023). Reviewer: Yuwei Fan (Beijing) MSC: 14N35 14J32 PDFBibTeX XMLCite \textit{Y. Toda}, J. Differ. Geom. 123, No. 1, 141--193 (2023; Zbl 07690280) Full Text: DOI arXiv Link
Feyzbakhsh, S.; Thomas, R. P. Rank \(r\) DT theory from rank 1. (English) Zbl 1525.14070 J. Am. Math. Soc. 36, No. 3, 795-826 (2023). Reviewer: Sergej Monavari (Lausanne) MSC: 14N35 PDFBibTeX XMLCite \textit{S. Feyzbakhsh} and \textit{R. P. Thomas}, J. Am. Math. Soc. 36, No. 3, 795--826 (2023; Zbl 1525.14070) Full Text: DOI arXiv
Cao, Yalong; Toda, Yukinobu Curve counting via stable objects in derived categories of Calabi-Yau 4-folds. (English) Zbl 1505.14113 Adv. Math. 406, Article ID 108531, 58 p. (2022). MSC: 14N35 14J32 14F08 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{Y. Toda}, Adv. Math. 406, Article ID 108531, 58 p. (2022; Zbl 1505.14113) Full Text: DOI arXiv
Bousseau, Pierrick Scattering diagrams, stability conditions, and coherent sheaves on \(\mathbb{P}^2\). (English) Zbl 1502.14137 J. Algebr. Geom. 31, No. 4, 593-686 (2022). Reviewer: Yalong Cao (Saitama) MSC: 14N35 14J33 14F08 PDFBibTeX XMLCite \textit{P. Bousseau}, J. Algebr. Geom. 31, No. 4, 593--686 (2022; Zbl 1502.14137) Full Text: DOI arXiv
Jiang, Yunfeng; Kool, Martijn Twisted sheaves and \(\text{SU}(r) / {\mathbb{Z}}_r\) Vafa-Witten theory. (English) Zbl 1495.14020 Math. Ann. 382, No. 1-2, 719-743 (2022). Reviewer: Zhenbo Qin (Columbia) MSC: 14D21 14J28 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{M. Kool}, Math. Ann. 382, No. 1--2, 719--743 (2022; Zbl 1495.14020) Full Text: DOI arXiv
Cao, Yalong; Maulik, Davesh; Toda, Yukinobu Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau \(4\)-folds. (English) Zbl 1491.14077 J. Eur. Math. Soc. (JEMS) 24, No. 2, 527-581 (2022). Reviewer: Huaxin Liu (Oxford) MSC: 14N35 14J32 PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Eur. Math. Soc. (JEMS) 24, No. 2, 527--581 (2022; Zbl 1491.14077) Full Text: DOI arXiv
Koseki, Naoki; Toda, Yukinobu Derived categories of Thaddeus pair moduli spaces via \(\mathrm{d}\)-critical flips. (English) Zbl 1476.14043 Adv. Math. 391, Article ID 107965, 55 p. (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14F08 14D20 14H60 PDFBibTeX XMLCite \textit{N. Koseki} and \textit{Y. Toda}, Adv. Math. 391, Article ID 107965, 55 p. (2021; Zbl 1476.14043) Full Text: DOI arXiv
Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi Sheaves of maximal intersection and multiplicities of stable log maps. (English) Zbl 1478.14085 Sel. Math., New Ser. 27, No. 4, Paper No. 61, 51 p. (2021). Reviewer: Simon Felten (Mainz) MSC: 14N35 14A21 14B10 14D15 14D20 14J26 PDFBibTeX XMLCite \textit{J. Choi} et al., Sel. Math., New Ser. 27, No. 4, Paper No. 61, 51 p. (2021; Zbl 1478.14085) Full Text: DOI arXiv
Bousseau, Pierrick Scattering diagrams, sheaves, and curves. (English) Zbl 1467.14129 Acta Math. Sin., Engl. Ser. 37, No. 7, 1005-1022 (2021). MSC: 14N35 14D20 14J60 14A21 14-02 PDFBibTeX XMLCite \textit{P. Bousseau}, Acta Math. Sin., Engl. Ser. 37, No. 7, 1005--1022 (2021; Zbl 1467.14129) Full Text: DOI arXiv
Toda, Yukinobu Semiorthogonal decompositions of stable pair moduli spaces via d-critical flips. (English) Zbl 1473.14107 J. Eur. Math. Soc. (JEMS) 23, No. 5, 1675-1725 (2021). Reviewer: Kai Xu (Cambridge) MSC: 14N35 14F08 PDFBibTeX XMLCite \textit{Y. Toda}, J. Eur. Math. Soc. (JEMS) 23, No. 5, 1675--1725 (2021; Zbl 1473.14107) Full Text: DOI arXiv
Stoppa, Jacopo Stable pairs, flat connections and Gopakumar-Vafa invariants. (English) Zbl 1460.14124 Boll. Unione Mat. Ital. 14, No. 1, 117-136 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14N35 34M50 PDFBibTeX XMLCite \textit{J. Stoppa}, Boll. Unione Mat. Ital. 14, No. 1, 117--136 (2021; Zbl 1460.14124) Full Text: DOI arXiv
Toda, Yukinobu Hall-type algebras for categorical Donaldson-Thomas theories on local surfaces. (English) Zbl 1445.14076 Sel. Math., New Ser. 26, No. 4, Paper No. 64, 71 p. (2020). Reviewer: Sergej Monavari (Utrecht) MSC: 14N35 14A20 PDFBibTeX XMLCite \textit{Y. Toda}, Sel. Math., New Ser. 26, No. 4, Paper No. 64, 71 p. (2020; Zbl 1445.14076) Full Text: DOI arXiv
Bousseau, Pierrick The quantum tropical vertex. (English) Zbl 1451.14158 Geom. Topol. 24, No. 3, 1297-1379 (2020). Reviewer: Thomas Blomme (Paris) MSC: 14N35 14T15 PDFBibTeX XMLCite \textit{P. Bousseau}, Geom. Topol. 24, No. 3, 1297--1379 (2020; Zbl 1451.14158) Full Text: DOI arXiv
Oberdieck, Georg; Shen, Junliang Curve counting on elliptic Calabi-Yau threefolds via derived categories. (English) Zbl 1453.14139 J. Eur. Math. Soc. (JEMS) 22, No. 3, 967-1002 (2020). MSC: 14N35 14F08 14J32 14J30 PDFBibTeX XMLCite \textit{G. Oberdieck} and \textit{J. Shen}, J. Eur. Math. Soc. (JEMS) 22, No. 3, 967--1002 (2020; Zbl 1453.14139) Full Text: DOI arXiv
Bryan, Jim; Kool, Martijn Donaldson-Thomas invariants of local elliptic surfaces via the topological vertex. (English) Zbl 1442.14172 Forum Math. Sigma 7, Paper No. e7, 45 p. (2019). Reviewer: Sergej Monavari (Utrecht) MSC: 14N35 14C05 PDFBibTeX XMLCite \textit{J. Bryan} and \textit{M. Kool}, Forum Math. Sigma 7, Paper No. e7, 45 p. (2019; Zbl 1442.14172) Full Text: DOI arXiv
Okounkov, Andrei Takagi lectures on Donaldson-Thomas theory. (English) Zbl 1411.14066 Jpn. J. Math. (3) 14, No. 1, 67-133 (2019). Reviewer: Yalong Cao (Chiba) MSC: 14N35 PDFBibTeX XMLCite \textit{A. Okounkov}, Jpn. J. Math. (3) 14, No. 1, 67--133 (2019; Zbl 1411.14066) Full Text: DOI arXiv
Oberdieck, Georg; Shen, Junliang Reduced Donaldson-Thomas invariants and the ring of dual numbers. (English) Zbl 1461.14075 Proc. Lond. Math. Soc. (3) 118, No. 1, 191-220 (2019). MSC: 14N35 14K99 PDFBibTeX XMLCite \textit{G. Oberdieck} and \textit{J. Shen}, Proc. Lond. Math. Soc. (3) 118, No. 1, 191--220 (2019; Zbl 1461.14075) Full Text: DOI arXiv
Cao, Yalong; Maulik, Davesh; Toda, Yukinobu Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds. (English) Zbl 1408.14177 Adv. Math. 338, 41-92 (2018). Reviewer: Sergiy Koshkin (Houston) MSC: 14N35 14J32 PDFBibTeX XMLCite \textit{Y. Cao} et al., Adv. Math. 338, 41--92 (2018; Zbl 1408.14177) Full Text: DOI arXiv
Toda, Yukinobu Curve counting theories on Calabi-Yau 3-folds: approach via stability conditions on derived categories. (English. Japanese original) Zbl 1396.14048 Sugaku Expo. 31, No. 2, 199-229 (2018); translation from Sūgaku 66, No. 4, 337-365 (2014). MSC: 14N35 14J32 14-02 PDFBibTeX XMLCite \textit{Y. Toda}, Sugaku Expo. 31, No. 2, 199--229 (2018; Zbl 1396.14048); translation from Sūgaku 66, No. 4, 337--365 (2014) Full Text: DOI
Maulik, Davesh; Toda, Yukinobu Gopakumar-Vafa invariants via vanishing cycles. (English) Zbl 1400.14141 Invent. Math. 213, No. 3, 1017-1097 (2018). Reviewer: Amin Gholampour (College Park) MSC: 14N35 14J32 PDFBibTeX XMLCite \textit{D. Maulik} and \textit{Y. Toda}, Invent. Math. 213, No. 3, 1017--1097 (2018; Zbl 1400.14141) Full Text: DOI arXiv
Oberdieck, Georg; Pixton, Aaron Holomorphic anomaly equations and the Igusa cusp form conjecture. (English) Zbl 1402.14048 Invent. Math. 213, No. 2, 507-587 (2018). Reviewer: Noriko Yui (Kingston) MSC: 14J28 14N35 11G05 11F99 PDFBibTeX XMLCite \textit{G. Oberdieck} and \textit{A. Pixton}, Invent. Math. 213, No. 2, 507--587 (2018; Zbl 1402.14048) Full Text: DOI arXiv
Lo, Jason; Zhang, Ziyu Preservation of semistability under Fourier-Mukai transforms. (English) Zbl 1454.14029 Geom. Dedicata 193, 89-119 (2018). MSC: 14D20 14F08 14J30 PDFBibTeX XMLCite \textit{J. Lo} and \textit{Z. Zhang}, Geom. Dedicata 193, 89--119 (2018; Zbl 1454.14029) Full Text: DOI arXiv
Macrì, Emanuele; Schmidt, Benjamin Lectures on Bridgeland stability. (English) Zbl 1391.14001 Brambila Paz, Leticia (ed.) et al., Moduli of curves. CIMAT Guanajuato, Mexico 2016. Lecture notes of a CIMPA-ICTP school, Guanajuato, Mexico, February 22 – March 4, 2016. Cham: Springer (ISBN 978-3-319-59485-9/pbk; 978-3-319-59486-6/ebook). Lecture Notes of the Unione Matematica Italiana 21, 139-211 (2017). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14-01 14F05 18E30 PDFBibTeX XMLCite \textit{E. Macrì} and \textit{B. Schmidt}, Lect. Notes Unione Mat. Ital. 21, 139--211 (2017; Zbl 1391.14001) Full Text: DOI arXiv
Soibelman, Yan Remarks on cohomological Hall algebras and their representations. (English) Zbl 1378.11068 Ballmann, Werner (ed.) et al., Arbeitstagung Bonn 2013. In memory of Friedrich Hirzebruch. Proceedings of the meeting, Bonn, Germany, May, 22–28, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-43646-3/hbk; 978-3-319-43648-7/ebook). Progress in Mathematics 319, 355-385 (2016). MSC: 11G10 11G20 14N35 14F05 PDFBibTeX XMLCite \textit{Y. Soibelman}, Prog. Math. 319, 355--385 (2016; Zbl 1378.11068) Full Text: DOI arXiv
Chuang, Wu-yen; Diaconescu, Duiliu-Emanuel; Donagi, Ron; Pantev, Tony Parabolic refined invariants and Macdonald polynomials. (English) Zbl 1367.14019 Commun. Math. Phys. 335, No. 3, 1323-1379 (2015). Reviewer: Michel van Garrel (Hamburg) MSC: 14N35 81T30 05E05 05E10 14J81 14J32 05A17 14J33 PDFBibTeX XMLCite \textit{W.-y. Chuang} et al., Commun. Math. Phys. 335, No. 3, 1323--1379 (2015; Zbl 1367.14019) Full Text: DOI arXiv
Meinhardt, Sven; Partsch, Holger Quotient categories, stability conditions, and birational geometry. (English) Zbl 1320.14029 Geom. Dedicata 173, 365-392 (2014). Reviewer: Will Donovan (Chiba Kashiwa) MSC: 14F05 14E05 18E30 PDFBibTeX XMLCite \textit{S. Meinhardt} and \textit{H. Partsch}, Geom. Dedicata 173, 365--392 (2014; Zbl 1320.14029) Full Text: DOI arXiv
Toda, Yukinobu Multiple cover formula of generalized DT invariants. I: Parabolic stable pairs. (English) Zbl 1290.14010 Adv. Math. 257, 476-526 (2014). Reviewer: Pawel Sosna (Hamburg) MSC: 14F05 18E30 53D45 PDFBibTeX XMLCite \textit{Y. Toda}, Adv. Math. 257, 476--526 (2014; Zbl 1290.14010) Full Text: DOI arXiv