Doan, Aleksander; Walpuski, Thomas Counting embedded curves in symplectic 6-manifolds. (English) Zbl 07794620 Comment. Math. Helv. 98, No. 4, 693-769 (2023). Reviewer: Benjamin McKay (Cork) MSC: 53D45 14N35 PDFBibTeX XMLCite \textit{A. Doan} and \textit{T. Walpuski}, Comment. Math. Helv. 98, No. 4, 693--769 (2023; Zbl 07794620) Full Text: DOI arXiv
Dwivedi, Shubham; Platt, Daniel; Walpuski, Thomas Associative submanifolds in Joyce’s generalised Kummer constructions. (English) Zbl 1525.53066 Commun. Math. Phys. 401, No. 3, 2327-2353 (2023). Reviewer: Giovanni Russo (Miami) MSC: 53C40 53C10 32G15 PDFBibTeX XMLCite \textit{S. Dwivedi} et al., Commun. Math. Phys. 401, No. 3, 2327--2353 (2023; Zbl 1525.53066) Full Text: DOI arXiv
Doan, Aleksander; Walpuski, Thomas Equivariant Brill-Noether theory for elliptic operators and superrigidity of \(J\)-holomorphic maps. (English) Zbl 07643021 Forum Math. Sigma 11, Paper No. e3, 59 p. (2023). MSC: 47-XX 32-XX 55N34 58J70 58C99 57M60 53D45 53D35 PDFBibTeX XMLCite \textit{A. Doan} and \textit{T. Walpuski}, Forum Math. Sigma 11, Paper No. e3, 59 p. (2023; Zbl 07643021) Full Text: DOI arXiv
Walpuski, Thomas; Zhang, Boyu On the compactness problem for a family of generalized Seiberg-Witten equations in dimension \(3\). (English) Zbl 1500.53030 Duke Math. J. 170, No. 17, 3891-3934 (2021). MSC: 53C07 35J70 57R57 57K30 PDFBibTeX XMLCite \textit{T. Walpuski} and \textit{B. Zhang}, Duke Math. J. 170, No. 17, 3891--3934 (2021; Zbl 1500.53030) Full Text: DOI arXiv
Doan, Aleksander; Walpuski, Thomas On the existence of harmonic \(\mathbf{Z}_2\) spinors. (English) Zbl 1486.53067 J. Differ. Geom. 117, No. 3, 395-449 (2021). Reviewer: Lorenzo Foscolo (London) MSC: 53C27 53C43 PDFBibTeX XMLCite \textit{A. Doan} and \textit{T. Walpuski}, J. Differ. Geom. 117, No. 3, 395--449 (2021; Zbl 1486.53067) Full Text: arXiv Link
Doan, Aleksander; Walpuski, Thomas Castelnuovo’s bound and rigidity in almost complex geometry. (English) Zbl 1460.53033 Adv. Math. 379, Article ID 107550, 24 p. (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C15 53C24 14J32 32Q65 PDFBibTeX XMLCite \textit{A. Doan} and \textit{T. Walpuski}, Adv. Math. 379, Article ID 107550, 24 p. (2021; Zbl 1460.53033) Full Text: DOI arXiv
Doan, Aleksander; Walpuski, Thomas Deformation theory of the blown-up Seiberg-Witten equation in dimension three. (English) Zbl 1446.53043 Sel. Math., New Ser. 26, No. 3, Paper No. 48, 48 p. (2020). MSC: 53C27 53C07 81T13 57K41 57K31 PDFBibTeX XMLCite \textit{A. Doan} and \textit{T. Walpuski}, Sel. Math., New Ser. 26, No. 3, Paper No. 48, 48 p. (2020; Zbl 1446.53043) Full Text: DOI arXiv
Doan, Aleksander; Walpuski, Thomas On counting associative submanifolds and Seiberg-Witten monopoles. (English) Zbl 1436.53035 Pure Appl. Math. Q. 15, No. 4, 1047-1133 (2019). MSC: 53C38 57R57 57R58 14N35 53C07 53C25 53C26 53C29 53C40 PDFBibTeX XMLCite \textit{A. Doan} and \textit{T. Walpuski}, Pure Appl. Math. Q. 15, No. 4, 1047--1133 (2019; Zbl 1436.53035) Full Text: DOI arXiv
Jacob, Adam; Walpuski, Thomas Hermitian Yang-Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds. (English) Zbl 1516.53029 Commun. Partial Differ. Equations 43, No. 11, 1566-1598 (2018). MSC: 53C07 32L05 53C55 PDFBibTeX XMLCite \textit{A. Jacob} and \textit{T. Walpuski}, Commun. Partial Differ. Equations 43, No. 11, 1566--1598 (2018; Zbl 1516.53029) Full Text: DOI arXiv
Jacob, Adam; Sá Earp, Henrique; Walpuski, Thomas Tangent cones of Hermitian Yang-Mills connections with isolated singularities. (English) Zbl 1505.53034 Math. Res. Lett. 25, No. 5, 1429-1445 (2018). MSC: 53C07 32S05 PDFBibTeX XMLCite \textit{A. Jacob} et al., Math. Res. Lett. 25, No. 5, 1429--1445 (2018; Zbl 1505.53034) Full Text: DOI arXiv
Walpuski, Thomas \(G_2\)-instantons, associative submanifolds and Fueter sections. (English) Zbl 1391.53029 Commun. Anal. Geom. 25, No. 4, 847-893 (2017). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 53C10 53C38 14D21 57M50 PDFBibTeX XMLCite \textit{T. Walpuski}, Commun. Anal. Geom. 25, No. 4, 847--893 (2017; Zbl 1391.53029) Full Text: DOI arXiv
Walpuski, Thomas A compactness theorem for Fueter sections. (English) Zbl 1383.58009 Comment. Math. Helv. 92, No. 4, 751-776 (2017). Reviewer: Gabjin Yun (Yongin) MSC: 58E20 53C26 53C43 PDFBibTeX XMLCite \textit{T. Walpuski}, Comment. Math. Helv. 92, No. 4, 751--776 (2017; Zbl 1383.58009) Full Text: DOI arXiv
Salamon, Dietmar A.; Walpuski, Thomas Notes on the octonions. (English) Zbl 1419.53054 Akbulut, Selman (ed.) et al., Proceedings of the 23rd Gökova geometry-topology conference, Gökova, Turkey, May 30 – June 3, 2016. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 1-85 (2017). MSC: 53C29 17A35 53C38 15-01 PDFBibTeX XMLCite \textit{D. A. Salamon} and \textit{T. Walpuski}, in: Proceedings of the 23rd Gökova geometry-topology conference, Gökova, Turkey, May 30 -- June 3, 2016. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 1--85 (2017; Zbl 1419.53054) Full Text: arXiv
Walpuski, Thomas Spin(7)-instantons, Cayley submanifolds and Fueter sections. (English) Zbl 1471.53049 Commun. Math. Phys. 352, No. 1, 1-36 (2017). Reviewer: Lorenzo Foscolo (London) MSC: 53C27 81T13 14D21 53C10 53C38 PDFBibTeX XMLCite \textit{T. Walpuski}, Commun. Math. Phys. 352, No. 1, 1--36 (2017; Zbl 1471.53049) Full Text: DOI arXiv
Walpuski, Thomas \(\mathrm{G}_2\)-instantons over twisted connected sums: an example. (English) Zbl 1350.53032 Math. Res. Lett. 23, No. 2, 529-544 (2016). Reviewer: Fortuné Massamba (Pietermaritzburg) MSC: 53C07 53C25 53C38 14J32 PDFBibTeX XMLCite \textit{T. Walpuski}, Math. Res. Lett. 23, No. 2, 529--544 (2016; Zbl 1350.53032) Full Text: DOI arXiv
Degeratu, Anda; Walpuski, Thomas Rigid HYM connections on tautological bundles over ALE crepant resolutions in dimension three. (English) Zbl 1335.53031 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 017, 23 p. (2016). MSC: 53C07 14F05 58J20 PDFBibTeX XMLCite \textit{A. Degeratu} and \textit{T. Walpuski}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 017, 23 p. (2016; Zbl 1335.53031) Full Text: DOI arXiv
Haydys, Andriy; Walpuski, Thomas A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three. (English) Zbl 1334.53039 Geom. Funct. Anal. 25, No. 6, 1799-1821 (2015). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 53C27 57R57 PDFBibTeX XMLCite \textit{A. Haydys} and \textit{T. Walpuski}, Geom. Funct. Anal. 25, No. 6, 1799--1821 (2015; Zbl 1334.53039) Full Text: DOI arXiv
Earp, Henrique N. Sá; Walpuski, Thomas \(\mathrm{G}_{2}\)-instantons over twisted connected. (English) Zbl 1317.53034 Geom. Topol. 19, No. 3, 1263-1285 (2015). MSC: 53C07 53C25 53C38 PDFBibTeX XMLCite \textit{H. N. S. Earp} and \textit{T. Walpuski}, Geom. Topol. 19, No. 3, 1263--1285 (2015; Zbl 1317.53034) Full Text: DOI arXiv
Walpuski, Thomas \(G_{2}\)-instantons on generalised Kummer constructions. (English) Zbl 1278.53051 Geom. Topol. 17, No. 4, 2345-2388 (2013). Reviewer: Maido Rahula (Tartu) MSC: 53C38 53C25 53C07 PDFBibTeX XMLCite \textit{T. Walpuski}, Geom. Topol. 17, No. 4, 2345--2388 (2013; Zbl 1278.53051) Full Text: DOI arXiv