| Vafa-Witten invariants for projective surfaces I: stable case Y Tanaka, RP Thomas arXiv preprint arXiv:1702.08487, 2017 | 80 | 2017 |
| Vafa-Witten invariants for projective surfaces II: semistable case Y Tanaka, RP Thomas Pure and Applied Mathematics Quarterly 13 (3), 517-562, 2017 | 68 | 2017 |
| On orientations for gauge-theoretic moduli spaces D Joyce, Y Tanaka, M Upmeier Advances in Mathematics 362, 106957, 2020 | 34 | 2020 |
| A construction of Spin(7)-instantons Y Tanaka Annals of Global Analysis and Geometry 42, 495-521, 2012 | 26 | 2012 |
| Universal structures in C-linear enumerative invariant theories J Gross, D Joyce, Y Tanaka SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 18, 068, 2022 | 23 | 2022 |
| Some boundedness properties of solutions to the Vafa–Witten equations on closed 4-manifolds Y Tanaka The Quarterly Journal of Mathematics 68 (4), 1203-1225, 2017 | 20 | 2017 |
| On the singular sets of solutions to the Kapustin–Witten equations and the Vafa–Witten ones on compact Kähler surfaces Y Tanaka Geometriae Dedicata 199 (1), 177-187, 2019 | 13* | 2019 |
| Stable sheaves with twisted sections and the Vafa–Witten equations on smooth projective surfaces Y Tanaka Manuscripta Mathematica 146 (3), 351-363, 2015 | 8 | 2015 |
| A weak compactness theorem of the Donaldson–Thomas instantons on compact Kähler threefolds Y Tanaka Journal of Mathematical Analysis and Applications 408 (1), 27-34, 2013 | 8 | 2013 |
| Vafa-Witten invariants for projective surfaces I: stable case, to appear in Jour. Alg. Geom Y Tanaka, RP Thomas arXiv preprint arXiv:1702.08487, 0 | 7 | |
| A perturbation and generic smoothness of the Vafa–Witten moduli spaces on closed symplectic four-manifolds Y Tanaka Glasgow Mathematical Journal 61 (2), 471-486, 2019 | 6 | 2019 |
| On the moduli space of Donaldson-Thomas instantons Y Tanaka Extracta Mathematicae 31 (1), 89-107, 2016 | 6* | 2016 |
| A removal singularity theorem of the Donaldson–Thomas instanton on compact Kähler threefolds Y Tanaka Journal of Mathematical Analysis and Applications 411 (1), 422-428, 2014 | 5 | 2014 |
| A blowup formula for virtual enumerative invariants on projective surfaces N Kuhn, Y Tanaka arXiv preprint arXiv:2107.08155, 2021 | 4 | 2021 |
| The Kapustin–Witten equations and nonabelian Hodge theory CC Liu, S Rayan, Y Tanaka European Journal of Mathematics 8 (Suppl 1), 23-41, 2022 | 2 | 2022 |
| The Blowup Formula for the Instanton Part of Vafa-Witten Invariants on Projective Surfaces N Kuhn, O Leigh, Y Tanaka arXiv preprint arXiv:2205.12953, 2022 | 2 | 2022 |
| Spin (7)-instantons on Joyce's first examples of compact Spin (7)-manifolds M Galdeano, D Platt, Y Tanaka, L Wang arXiv preprint arXiv:2310.03451, 2023 | | 2023 |
| Seiberg-Witten type equations on compact symplectic 6-manifolds Y Tanaka arXiv preprint arXiv:1407.1934, 2014 | | 2014 |
Richard P ThomasImperial College LondonVerified email at imperial.ac.uk
