Joyce, Dominic; Upmeier, Markus Canonical orientations for moduli spaces of \(G_2\)-instantons with gauge group \(\mathrm{SU}(m)\) or \(\mathrm{U}(m)\). (English) Zbl 07724284 J. Differ. Geom. 124, No. 2, 199-229 (2023). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 53C07 58D25 14N35 PDFBibTeX XMLCite \textit{D. Joyce} and \textit{M. Upmeier}, J. Differ. Geom. 124, No. 2, 199--229 (2023; Zbl 07724284) Full Text: DOI arXiv Link
Gross, Jacob; Joyce, Dominic; Tanaka, Yuuji Universal structures in \(\mathbb{C}\)-linear enumerative invariant theories. (English) Zbl 1505.14026 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 068, 61 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14D20 17B69 16G20 PDFBibTeX XMLCite \textit{J. Gross} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 068, 61 p. (2022; Zbl 1505.14026) Full Text: DOI arXiv
Joyce, Dominic; Upmeier, Markus On spin structures and orientations for gauge-theoretic moduli spaces. (English) Zbl 1460.32054 Adv. Math. 381, Article ID 107630, 56 p. (2021). MSC: 32Q25 14J32 PDFBibTeX XMLCite \textit{D. Joyce} and \textit{M. Upmeier}, Adv. Math. 381, Article ID 107630, 56 p. (2021; Zbl 1460.32054) Full Text: DOI arXiv
Joyce, Dominic; Upmeier, Markus Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-folds. (English) Zbl 1471.14114 Adv. Math. 381, Article ID 107627, 48 p. (2021). Reviewer: Yalong Cao (Saitama) MSC: 14N35 14J32 PDFBibTeX XMLCite \textit{D. Joyce} and \textit{M. Upmeier}, Adv. Math. 381, Article ID 107627, 48 p. (2021; Zbl 1471.14114) Full Text: DOI arXiv
Cao, Yalong; Gross, Jacob; Joyce, Dominic Orientability of moduli spaces of \(\mathrm{Spin}(7)\)-instantons and coherent sheaves on Calabi-Yau 4-folds. (English) Zbl 1443.14056 Adv. Math. 368, Article ID 107134, 59 p. (2020). Reviewer: Sergiy Koshkin (Houston) MSC: 14N35 53D45 PDFBibTeX XMLCite \textit{Y. Cao} et al., Adv. Math. 368, Article ID 107134, 59 p. (2020; Zbl 1443.14056) Full Text: DOI arXiv
Joyce, Dominic; Tanaka, Yuuji; Upmeier, Markus On orientations for gauge-theoretic moduli spaces. (English) Zbl 1515.58002 Adv. Math. 362, Article ID 106957, 64 p. (2020). MSC: 58D27 53C07 PDFBibTeX XMLCite \textit{D. Joyce} et al., Adv. Math. 362, Article ID 106957, 64 p. (2020; Zbl 1515.58002) Full Text: DOI arXiv
Borisov, Dennis; Joyce, Dominic Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds. (English) Zbl 1390.14008 Geom. Topol. 21, No. 6, 3231-3311 (2017). Reviewer: Sergiy Koshkin (Houston) MSC: 14A20 14N35 14J35 14F05 55N22 53D30 PDFBibTeX XMLCite \textit{D. Borisov} and \textit{D. Joyce}, Geom. Topol. 21, No. 6, 3231--3311 (2017; Zbl 1390.14008) Full Text: DOI arXiv