Belavin, A. A.; Eremin, B. A. Multiple mirrors and the JKLMR conjecture. (English. Russian original) Zbl 1516.81164 Theor. Math. Phys. 213, No. 1, 1441-1452 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 149-162 (2022). MSC: 81T40 81T60 14J32 81T15 81T16 14D21 32Q15 14N35 14J33 81T13 32Q25 PDFBibTeX XMLCite \textit{A. A. Belavin} and \textit{B. A. Eremin}, Theor. Math. Phys. 213, No. 1, 1441--1452 (2022; Zbl 1516.81164); translation from Teor. Mat. Fiz. 213, No. 1, 149--162 (2022) Full Text: DOI
Driezen, Sibylle; Sfetsos, Konstantinos Integrable \(\lambda\)-deformations of the Euclidean black string. (English) Zbl 1508.83016 Nucl. Phys., B 964, Article ID 115327, 19 p. (2021). MSC: 83C57 08A35 81T35 70S15 14D21 32C09 PDFBibTeX XMLCite \textit{S. Driezen} and \textit{K. Sfetsos}, Nucl. Phys., B 964, Article ID 115327, 19 p. (2021; Zbl 1508.83016) Full Text: DOI arXiv
Knapp, Johanna; Romo, Mauricio; Scheidegger, Emanuel D-brane central charge and Landau-Ginzburg orbifolds. (English) Zbl 1469.81060 Commun. Math. Phys. 384, No. 1, 609-697 (2021). Reviewer: Philsang Yoo (New Haven) MSC: 81T40 14J27 32Q25 14D21 81T13 PDFBibTeX XMLCite \textit{J. Knapp} et al., Commun. Math. Phys. 384, No. 1, 609--697 (2021; Zbl 1469.81060) Full Text: DOI arXiv
Huebschmann, Johannes Finite-dimensional construction of self-duality and related moduli spaces over a closed Riemann surface as stratified holomorphic symplectic spaces. arXiv:2108.01016 Preprint, arXiv:2108.01016 [math.DG] (2021). MSC: 53D30 14D21 14L24 14H60 32S60 53D17 53D20 53D50 58D27 81T13 BibTeX Cite \textit{J. Huebschmann}, ``Finite-dimensional construction of self-duality and related moduli spaces over a closed Riemann surface as stratified holomorphic symplectic spaces'', Preprint, arXiv:2108.01016 [math.DG] (2021) Full Text: arXiv OA License
Lai, Sheng-Hong; Lee, Jen-Chi; Tsai, I-Hsun Extended complex Yang-Mills instanton sheaves. (English) Zbl 07808342 Int. J. Geom. Methods Mod. Phys. 17, No. 4, Article ID 2050061, 42 p. (2020). MSC: 14D21 81T13 32L10 14H70 PDFBibTeX XMLCite \textit{S.-H. Lai} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 4, Article ID 2050061, 42 p. (2020; Zbl 07808342) Full Text: DOI arXiv
Hu, Zhi; Huang, Pengfei The Hitchin-Kobayashi correspondence for quiver bundles over generalized Kähler manifolds. (English) Zbl 1461.14016 J. Geom. Anal. 30, No. 4, 3641-3671 (2020). Reviewer: Ljudmila Kamenova (New York) MSC: 14D21 32G13 32L05 53C07 53C25 53C55 PDFBibTeX XMLCite \textit{Z. Hu} and \textit{P. Huang}, J. Geom. Anal. 30, No. 4, 3641--3671 (2020; Zbl 1461.14016) Full Text: DOI arXiv
Calvo-Andrade, Omegar; Díaz, Lázaro O. Rodríguez; Earp, Henrique N. Sá Gauge theory and \(\mathrm{G}_2\)-geometry on Calabi-Yau links. (English) Zbl 1462.53014 Rev. Mat. Iberoam. 36, No. 6, 1753-1778 (2020). MSC: 53C07 53C25 57R15 32S55 57R18 32Q25 PDFBibTeX XMLCite \textit{O. Calvo-Andrade} et al., Rev. Mat. Iberoam. 36, No. 6, 1753--1778 (2020; Zbl 1462.53014) Full Text: DOI arXiv
Buchdahl, Nicholas P.; Schumacher, Georg \(L^2\)-cohomology for affine spaces and an application to monads. (English) Zbl 1451.14126 Rocky Mt. J. Math. 50, No. 5, 1599-1616 (2020). Reviewer: Edoardo Ballico (Povo) MSC: 14J60 32G13 14D20 14D22 14H10 14J10 53C07 PDFBibTeX XMLCite \textit{N. P. Buchdahl} and \textit{G. Schumacher}, Rocky Mt. J. Math. 50, No. 5, 1599--1616 (2020; Zbl 1451.14126) Full Text: DOI Euclid
Huang, Pengfei Non-abelian Hodge theory and related topics. (English) Zbl 1439.14007 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 029, 34 p. (2020). MSC: 14-02 14D20 14D21 32G20 53C07 57N80 PDFBibTeX XMLCite \textit{P. Huang}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 029, 34 p. (2020; Zbl 1439.14007) Full Text: DOI arXiv
Devchand, Chandrashekar; Pontecorvo, Massimiliano; Spiro, Andrea Instantons on hyperkähler manifolds. (English) Zbl 1509.53057 Ann. Mat. Pura Appl. (4) 199, No. 2, 533-561 (2020). MSC: 53C26 53C28 70S15 14D21 32L05 58D27 PDFBibTeX XMLCite \textit{C. Devchand} et al., Ann. Mat. Pura Appl. (4) 199, No. 2, 533--561 (2020; Zbl 1509.53057) Full Text: DOI arXiv
Lai, Sheng-Hong; Lee, Jen-Chi; Tsai, I-Hsun Yang-Mills instanton sheaves with higher topological charges. (English) Zbl 1420.14028 Int. J. Geom. Methods Mod. Phys. 16, No. 7, Article ID 1950112, 30 p. (2019). MSC: 14D21 81T13 32L10 14H70 PDFBibTeX XMLCite \textit{S.-H. Lai} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 7, Article ID 1950112, 30 p. (2019; Zbl 1420.14028) Full Text: DOI arXiv
Lai, Sheng-Hong; Lee, Jen-Chi; Tsai, I-Hsun Sheaf lines of Yang-Mills instanton sheaves. (English) Zbl 1437.14022 Int. J. Geom. Methods Mod. Phys. 16, No. 3, Article ID 1950036, 32 p. (2019). Reviewer: André Oliveira (Porto) MSC: 14D21 81T13 32L10 14H70 PDFBibTeX XMLCite \textit{S.-H. Lai} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 3, Article ID 1950036, 32 p. (2019; Zbl 1437.14022) Full Text: DOI arXiv
Doan, Aleksander Seiberg-Witten monopoles with multiple spinors on a surface times a circle. (English) Zbl 1411.14037 J. Topol. 12, No. 1, 1-55 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H60 14J80 57R57 14D21 35Q56 53C07 57M27 32Q15 PDFBibTeX XMLCite \textit{A. Doan}, J. Topol. 12, No. 1, 1--55 (2019; Zbl 1411.14037) Full Text: DOI arXiv
Kharchev, S.; Levin, A.; Olshanetsky, M.; Zotov, A. Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins. (English) Zbl 1408.53035 J. Math. Phys. 59, No. 10, 103509, 36 p. (2018). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 53C07 53C55 32Q20 17B20 14D21 14H60 PDFBibTeX XMLCite \textit{S. Kharchev} et al., J. Math. Phys. 59, No. 10, 103509, 36 p. (2018; Zbl 1408.53035) Full Text: DOI arXiv
Cardona, S. A. H.; García-Compeán, H.; Martínez-Merino, A. On the Moyal deformation of Kapustin-Witten systems. (English) Zbl 1400.81171 J. Math. Phys. 59, No. 10, 102301, 13 p. (2018). MSC: 81T60 81T13 81T45 22E45 14D21 32G13 57R56 57M27 PDFBibTeX XMLCite \textit{S. A. H. Cardona} et al., J. Math. Phys. 59, No. 10, 102301, 13 p. (2018; Zbl 1400.81171) Full Text: DOI arXiv
Eyssidieux, Philippe; Sala, Francesco Instantons and framed sheaves on Kähler Deligne-Mumford stacks. (English. French summary) Zbl 1467.14032 Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 3, 599-628 (2018). MSC: 14D23 14D21 32Q26 53C07 PDFBibTeX XMLCite \textit{P. Eyssidieux} and \textit{F. Sala}, Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 3, 599--628 (2018; Zbl 1467.14032) Full Text: DOI arXiv
Geipel, Jakob C.; Sperling, Marcus Instantons on Calabi-Yau and hyper-Kähler cones. (English) Zbl 1383.81137 J. High Energy Phys. 2017, No. 10, Paper No. 103, 33 p. (2017). MSC: 81T13 14J32 32Q25 53B35 35Q51 83C15 PDFBibTeX XMLCite \textit{J. C. Geipel} and \textit{M. Sperling}, J. High Energy Phys. 2017, No. 10, Paper No. 103, 33 p. (2017; Zbl 1383.81137) Full Text: DOI arXiv
Skliros, Dimitri P.; Copeland, Edmund J.; Saffin, Paul M. Highly excited strings. I: generating function. (English) Zbl 1356.81192 Nucl. Phys., B 916, 143-207 (2017). MSC: 81T30 81T15 17B69 14D21 32Q15 83E15 81T13 83E30 83C45 PDFBibTeX XMLCite \textit{D. P. Skliros} et al., Nucl. Phys., B 916, 143--207 (2017; Zbl 1356.81192) Full Text: DOI arXiv
Gerhardus, Andreas; Jockers, Hans Dual pairs of gauged linear sigma models and derived equivalences of Calabi-Yau threefolds. (English) Zbl 1359.81136 J. Geom. Phys. 114, 223-259 (2017). MSC: 81T13 53D05 81T30 14J32 14D21 32Q15 PDFBibTeX XMLCite \textit{A. Gerhardus} and \textit{H. Jockers}, J. Geom. Phys. 114, 223--259 (2017; Zbl 1359.81136) Full Text: DOI arXiv
Jia, Bei Topological sigma models on supermanifolds. (English) Zbl 1354.81049 Nucl. Phys., B 915, 84-101 (2017). MSC: 81T45 81T10 81T13 81T60 46S60 32C11 81R05 14D21 PDFBibTeX XMLCite \textit{B. Jia}, Nucl. Phys., B 915, 84--101 (2017; Zbl 1354.81049) Full Text: DOI arXiv
Fré, P.; Grassi, P. A.; Sorin, A. S. Hyperinstantons, the Beltrami equation, and triholomorphic maps. (English) Zbl 1339.83072 Fortschr. Phys. 64, No. 2-3, 151-175 (2016). MSC: 83E50 83E30 35Q35 14D21 81T20 81T13 53C26 35G45 32Q25 PDFBibTeX XMLCite \textit{P. Fré} et al., Fortschr. Phys. 64, No. 2--3, 151--175 (2016; Zbl 1339.83072) Full Text: DOI arXiv
Deser, Andreas; Lechtenfeld, Olaf; Popov, Alexander D. Sigma-model limit of Yang-Mills instantons in higher dimensions. (English) Zbl 1328.81159 Nucl. Phys., B 894, 361-373 (2015). MSC: 81T13 14D21 32Q15 83E15 81T10 PDFBibTeX XMLCite \textit{A. Deser} et al., Nucl. Phys., B 894, 361--373 (2015; Zbl 1328.81159) Full Text: DOI arXiv
Sergeev, Armen Harmonic spheres conjecture. (English) Zbl 1322.58012 Cepedello Boiso, Manuel (ed.) et al., Concrete operators, spectral theory, operators in harmonic analysis and approximation. 22nd international workshop in operator theory and its applications, IWOTA 11, Sevilla, Spain, July 3–9, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0647-3/hbk; 978-3-0348-0648-0/ebook). Operator Theory: Advances and Applications 236, 463-473 (2014). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 53C28 32L25 PDFBibTeX XMLCite \textit{A. Sergeev}, Oper. Theory: Adv. Appl. 236, 463--473 (2014; Zbl 1322.58012) Full Text: DOI
Muñoz, Vicente \(\operatorname{Spin}(7)\)-instantons, stable bundles and the Bogomolov inequality for complex 4-tori. (English) Zbl 1326.14107 J. Math. Pures Appl. (9) 102, No. 1, 124-152 (2014). MSC: 14K22 14D21 53C07 32G20 53C10 53C27 PDFBibTeX XMLCite \textit{V. Muñoz}, J. Math. Pures Appl. (9) 102, No. 1, 124--152 (2014; Zbl 1326.14107) Full Text: DOI arXiv
Jockers, Hans; Kumar, Vijay; Lapan, Joshua M.; Morrison, David R.; Romo, Mauricio Two-sphere partition functions and Gromov-Witten invariants. (English) Zbl 1301.81253 Commun. Math. Phys. 325, No. 3, 1139-1170 (2014). Reviewer: Johannes Walcher (Montréal) MSC: 81T40 81T60 14J32 81T15 81T16 14D21 32Q15 14N35 14J33 81T13 PDFBibTeX XMLCite \textit{H. Jockers} et al., Commun. Math. Phys. 325, No. 3, 1139--1170 (2014; Zbl 1301.81253) Full Text: DOI arXiv
Sergeev, Armen Harmonic spheres and Yang-Mills fields. (English) Zbl 1382.81142 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 14th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 8–13, 2012. Sofia: Bulgarian Academy of Sciences. Geometry, Integrability and Quantization, 11-34 (2013). MSC: 81T13 32Q15 35J60 22E70 81T20 14D21 PDFBibTeX XMLCite \textit{A. Sergeev}, in: Proceedings of the 14th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 8--13, 2012. Sofia: Bulgarian Academy of Sciences. 11--34 (2013; Zbl 1382.81142) Full Text: DOI Euclid
Schaffhauser, Florent Differential geometry of holomorphic vector bundles on a curve. (English) Zbl 1295.32035 Cardona, Alexander (ed.) et al., Geometric and topological methods for quantum field theory. Papers based on the presentations at the 6th summer school, Villa de Leyva, Colombia, July 6–23, 2009. Cambridge: Cambridge University Press (ISBN 978-1-107-02683-4/hbk; 978-1-139-20864-2/ebook). 39-80 (2013). Reviewer: Nicolae Manolache (Bucureşti) MSC: 32L05 14D21 14H60 53C07 PDFBibTeX XMLCite \textit{F. Schaffhauser}, in: Geometric and topological methods for quantum field theory. Papers based on the presentations at the 6th summer school, Villa de Leyva, Colombia, July 6--23, 2009. Cambridge: Cambridge University Press. 39--80 (2013; Zbl 1295.32035) Full Text: arXiv
Ferrari, Frank; Moskovic, Micha; Rovai, Antonin Examples of emergent type IIB backgrounds from matrices. (English) Zbl 1262.81107 Nucl. Phys., B 872, No. 2, 184-212 (2013). MSC: 81T13 81T60 14D21 83E50 32G81 PDFBibTeX XMLCite \textit{F. Ferrari} et al., Nucl. Phys., B 872, No. 2, 184--212 (2013; Zbl 1262.81107) Full Text: DOI arXiv
Sergeev, Armen Harmonic spheres conjecture. (English) Zbl 1279.58007 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 – July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser (ISBN 978-3-0348-0447-9/hbk; 978-3-0348-0448-6/ebook). Trends in Mathematics, 391-404 (2013). Reviewer: Gábor Tóth (Camden) MSC: 58E20 53C28 32L25 PDFBibTeX XMLCite \textit{A. Sergeev}, in: Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 -- July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser. 391--404 (2013; Zbl 1279.58007) Full Text: DOI
Harland, Derek; Nölle, Christoph Instantons and Killing spinors. (English) Zbl 1309.81162 J. High Energy Phys. 2012, No. 3, Paper No. 082, 38 p. (2012). MSC: 81T13 81T60 83E50 81T20 32Q15 53C35 35C08 14D21 PDFBibTeX XMLCite \textit{D. Harland} and \textit{C. Nölle}, J. High Energy Phys. 2012, No. 3, Paper No. 082, 38 p. (2012; Zbl 1309.81162) Full Text: DOI arXiv
Popov, Alexander D.; Szabo, Richard J. Double quiver gauge theory and nearly Kähler flux compactifications. (English) Zbl 1309.81170 J. High Energy Phys. 2012, No. 2, Paper No. 033, 50 p. (2012). MSC: 81T13 16G20 81T20 83E15 35C08 14D21 32Q15 PDFBibTeX XMLCite \textit{A. D. Popov} and \textit{R. J. Szabo}, J. High Energy Phys. 2012, No. 2, Paper No. 033, 50 p. (2012; Zbl 1309.81170) Full Text: DOI arXiv
Harland, Derek; Popov, Alexander D. Yang-Mills fields in flux compactifications on homogeneous manifolds with \(\operatorname{SU}(4)\)-structure. (English) Zbl 1309.81163 J. High Energy Phys. 2012, No. 2, Paper No. 107, 31 p. (2012). MSC: 81T13 53C30 32Q15 14J32 35C08 14D21 22E57 22E70 PDFBibTeX XMLCite \textit{D. Harland} and \textit{A. D. Popov}, J. High Energy Phys. 2012, No. 2, Paper No. 107, 31 p. (2012; Zbl 1309.81163) Full Text: DOI arXiv
Dasgupta, Keshav; Seo, Jihye; Wissanji, Alisha F-theory, Seiberg-Witten curves and \(\mathcal{N} = {2}\) dualities. (English) Zbl 1309.81213 J. High Energy Phys. 2012, No. 2, Paper No. 146, 110 p. (2012). MSC: 81T30 81T13 81T60 14J80 57R57 14D21 14J32 32Q15 PDFBibTeX XMLCite \textit{K. Dasgupta} et al., J. High Energy Phys. 2012, No. 2, Paper No. 146, 110 p. (2012; Zbl 1309.81213) Full Text: DOI arXiv
Anderson, Lara B.; Braun, Volker; Ovrut, Burt A. Numerical Hermitian Yang-Mills connections and Kähler cone substructure. (English) Zbl 1306.81181 J. High Energy Phys. 2012, No. 1, Paper No. 014, 38 p. (2012). MSC: 81T30 81T60 81T13 14D21 14J32 32Q15 81T80 PDFBibTeX XMLCite \textit{L. B. Anderson} et al., J. High Energy Phys. 2012, No. 1, Paper No. 014, 38 p. (2012; Zbl 1306.81181) Full Text: DOI arXiv
Tan, Meng-Chwan Notes on the “ramified” Seiberg-Witten equations and invariants. (English) Zbl 1306.81133 J. High Energy Phys. 2012, No. 1, Paper No. 067, 17 p. (2012). MSC: 81T13 81T60 14J80 57R57 14D21 32Q15 PDFBibTeX XMLCite \textit{M.-C. Tan}, J. High Energy Phys. 2012, No. 1, Paper No. 067, 17 p. (2012; Zbl 1306.81133) Full Text: DOI arXiv
Sergeev, Armen Harmonic spheres and Yang-Mills fields. (English) Zbl 1275.81067 J. Geom. Symmetry Phys. 27, 1-25 (2012). Reviewer: Saeid Jafari (Copenhagen) MSC: 81T13 32Q15 35J60 22E70 81T20 14D21 PDFBibTeX XMLCite \textit{A. Sergeev}, J. Geom. Symmetry Phys. 27, 1--25 (2012; Zbl 1275.81067)
Tanaka, Yuuji A construction of \(\mathrm{Spin}(7)\)-instantons. (English) Zbl 1258.53022 Ann. Global Anal. Geom. 42, No. 4, 495-521 (2012). Reviewer: Renaud Gauthier (Phoenix) MSC: 53C07 53C25 14D21 14J32 14Q99 32Q15 32Q25 53C21 57R18 PDFBibTeX XMLCite \textit{Y. Tanaka}, Ann. Global Anal. Geom. 42, No. 4, 495--521 (2012; Zbl 1258.53022) Full Text: DOI arXiv
Gasparim, Elizabeth; Köppe, Thomas; Majumdar, Pushan; Ray, Koushik BPS state counting on singular varieties. (English) Zbl 1251.81066 J. Phys. A, Math. Theor. 45, No. 26, Article ID 265401, 20 p. (2012). MSC: 81T13 81T60 81T45 14D21 32S45 PDFBibTeX XMLCite \textit{E. Gasparim} et al., J. Phys. A, Math. Theor. 45, No. 26, Article ID 265401, 20 p. (2012; Zbl 1251.81066) Full Text: DOI arXiv Link
Gemmer, Karl-Philip; Lechtenfeld, Olaf; Nölle, Christoph; Popov, Alexander D. Yang-Mills instantons on cones and sine-cones over nearly Kähler manifolds. (English) Zbl 1301.81128 J. High Energy Phys. 2011, No. 9, Paper No. 103, 25 p. (2011). MSC: 81T13 32Q15 35C08 14D21 83E15 81Q70 11R52 PDFBibTeX XMLCite \textit{K.-P. Gemmer} et al., J. High Energy Phys. 2011, No. 9, Paper No. 103, 25 p. (2011; Zbl 1301.81128) Full Text: DOI arXiv
Baptista, J. M. On the \(L^{2}\)-metric of vortex moduli spaces. (English) Zbl 1207.81065 Nucl. Phys., B 844, No. 2, 308-333 (2011). MSC: 81T13 14D21 32G15 PDFBibTeX XMLCite \textit{J. M. Baptista}, Nucl. Phys., B 844, No. 2, 308--333 (2011; Zbl 1207.81065) Full Text: DOI arXiv
Liu, Haitao Dimension of conformal blocks in five dimensional Kähler-Chern-Simons theory. (English) Zbl 1310.81119 J. Math. Phys. 51, No. 4, 043513, 13 p. (2010). MSC: 81T10 81T13 58J28 32Q15 14D21 81T40 PDFBibTeX XMLCite \textit{H. Liu}, J. Math. Phys. 51, No. 4, 043513, 13 p. (2010; Zbl 1310.81119) Full Text: DOI arXiv
Ramadas, T. R. Spin(7) instantons and the Hodge conjecture for certain Abelian four-folds: a modest proposal. (English) Zbl 1217.32006 García-Prada, Oscar (ed.) et al., Vector bundles and complex geometry. Conference on vector bundles in honor of S. Ramanan on the occasion of his 70th birthday, Madrid, Spain, June 16–20, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4750-3/pbk). Contemporary Mathematics 522, 155-170 (2010). MSC: 32J25 14C30 70S15 14J35 PDFBibTeX XMLCite \textit{T. R. Ramadas}, Contemp. Math. 522, 155--170 (2010; Zbl 1217.32006) Full Text: arXiv
Bruzzo, Ugo Gauge theory: from physics to geometry. (English) Zbl 1225.14009 Rend. Ist. Mat. Univ. Trieste 42, 103-128 (2010). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 14D20 14D21 14J60 32G13 58D27 70S15 81T45 PDFBibTeX XMLCite \textit{U. Bruzzo}, Rend. Ist. Mat. Univ. Trieste 42, 103--128 (2010; Zbl 1225.14009) Full Text: Link
Popov, Alexander D. Hermitian Yang-Mills equations and pseudo-holomorphic bundles on nearly Kähler and nearly Calabi-Yau twistor 6-manifolds. (English) Zbl 1203.81118 Nucl. Phys., B 828, No. 3, 594-624 (2010). MSC: 81T13 81T60 81R25 14J32 14D21 32L25 32Q65 PDFBibTeX XMLCite \textit{A. D. Popov}, Nucl. Phys., B 828, No. 3, 594--624 (2010; Zbl 1203.81118) Full Text: DOI arXiv
Sergeev, A. G. Harmonic maps. (Гармонические отображения.) (Russian) Zbl 1286.53002 Lektsionnye Kursy NOTs 10. Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (ISBN 5-98419-029-X/pbk). 117 p. (2008). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 53-01 53C43 53C28 58C10 32C25 14D21 58E20 PDFBibTeX XMLCite \textit{A. G. Sergeev}, Гармонические отображения (Russian). Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (2008; Zbl 1286.53002) Full Text: DOI Link
Kapustin, Anton; Witten, Edward Electric-magnetic duality and the geometric Langlands program. (English) Zbl 1128.22013 Commun. Number Theory Phys. 1, No. 1, 1-236 (2007). Reviewer: Eugene Kryachko (Liège) MSC: 22E46 14D21 32G13 81T45 81T60 PDFBibTeX XMLCite \textit{A. Kapustin} and \textit{E. Witten}, Commun. Number Theory Phys. 1, No. 1, 1--236 (2007; Zbl 1128.22013) Full Text: DOI arXiv
Taniguchi, Tadashi Super twistor space and \(N=2\) supersymmetric instantons. (English) Zbl 1093.53051 J. Geom. Phys. 48, No. 2-3, 203-218 (2003). MSC: 53C28 32L25 53C07 81R25 81T60 PDFBibTeX XMLCite \textit{T. Taniguchi}, J. Geom. Phys. 48, No. 2--3, 203--218 (2003; Zbl 1093.53051) Full Text: DOI
Nitta, Takashi; Taniguchi, Tadashi Hypergeometric functions and moduli spaces of null-correlation bundles. (English) Zbl 0974.32007 J. Math. Phys. 41, No. 2, 1016-1025 (2000). MSC: 32G13 32Q20 33C65 14D21 33C90 53C07 PDFBibTeX XMLCite \textit{T. Nitta} and \textit{T. Taniguchi}, J. Math. Phys. 41, No. 2, 1016--1025 (2000; Zbl 0974.32007) Full Text: DOI
Small, A. J. Singularity criteria for (complexified) BPS monopoles. (English) Zbl 1008.53028 Math. Proc. Camb. Philos. Soc. 129, No. 1, 59-71 (2000). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53C07 53C28 32L81 14D21 PDFBibTeX XMLCite \textit{A. J. Small}, Math. Proc. Camb. Philos. Soc. 129, No. 1, 59--71 (2000; Zbl 1008.53028) Full Text: DOI
Bor, Gil; Segert, Jan Symmetric instantons and the ADHM construction. (English) Zbl 0867.53024 Commun. Math. Phys. 183, No. 1, 183-203 (1997). Reviewer: W.Kleinert (Berlin) MSC: 53C07 32Q20 81T13 14J60 PDFBibTeX XMLCite \textit{G. Bor} and \textit{J. Segert}, Commun. Math. Phys. 183, No. 1, 183--203 (1997; Zbl 0867.53024) Full Text: DOI
Nagatomo, Yasuyuki; Nitta, Takashi Moduli of 1-instantons on \(G_ 2(\mathbb{C}^{n+2})\). (English) Zbl 0880.53024 Differ. Geom. Appl. 7, No. 2, 115-122 (1997). Reviewer: J.Davidov (Sofia) MSC: 53C07 32L25 32G13 32L10 58D27 PDFBibTeX XMLCite \textit{Y. Nagatomo} and \textit{T. Nitta}, Differ. Geom. Appl. 7, No. 2, 115--122 (1997; Zbl 0880.53024) Full Text: DOI
Katz, Sheldon; Vafa, Cumrun Geometric engineering of \(N=1\) quantum field theories. (English) Zbl 0935.81059 Nucl. Phys., B 497, No. 1-2, 196-204 (1997). MSC: 81T30 14J32 81T40 32J81 PDFBibTeX XMLCite \textit{S. Katz} and \textit{C. Vafa}, Nucl. Phys., B 497, No. 1--2, 196--204 (1997; Zbl 0935.81059) Full Text: DOI arXiv
Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun Geometric engineering of quantum field theories. (English) Zbl 0935.81058 Nucl. Phys., B 497, No. 1-2, 173-195 (1997). MSC: 81T30 14J32 32J81 81T60 PDFBibTeX XMLCite \textit{S. Katz} et al., Nucl. Phys., B 497, No. 1--2, 173--195 (1997; Zbl 0935.81058) Full Text: DOI arXiv
Tian, Youliang The based \(\text{SU}(n)\)-instanton moduli spaces. (English) Zbl 0788.32013 Math. Ann. 298, No. 1, 117-139 (1994). Reviewer: Y.Tian (Albuquerque) MSC: 32G13 81T13 55P35 PDFBibTeX XMLCite \textit{Y. Tian}, Math. Ann. 298, No. 1, 117--139 (1994; Zbl 0788.32013) Full Text: DOI EuDML
Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J. The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture. (English) Zbl 0816.55002 Ann. Math. (2) 137, No. 3, 561-609 (1993). Reviewer: S.K.Donaldson (Oxford) MSC: 55P35 58D27 53C07 81T13 14D20 32G13 PDFBibTeX XMLCite \textit{C. P. Boyer} et al., Ann. Math. (2) 137, No. 3, 561--609 (1993; Zbl 0816.55002) Full Text: DOI
Maruyama, M.; Trautmann, Günther Limits of instantons. (English) Zbl 0770.14012 Int. J. Math. 3, No. 2, 213-276 (1992). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 14F10 53C07 14D20 32G13 PDFBibTeX XMLCite \textit{M. Maruyama} and \textit{G. Trautmann}, Int. J. Math. 3, No. 2, 213--276 (1992; Zbl 0770.14012) Full Text: DOI
Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J. The Atiyah-Jones conjecture. (English) Zbl 0748.32014 Bull. Am. Math. Soc., New Ser. 26, No. 2, 317-321 (1992). MSC: 32G81 81T13 55P35 14F05 14D20 32G13 58D27 PDFBibTeX XMLCite \textit{C. P. Boyer} et al., Bull. Am. Math. Soc., New Ser. 26, No. 2, 317--321 (1992; Zbl 0748.32014) Full Text: DOI arXiv
Kogan, Ya.; Markushevich, D.; Morozov, A.; Olshanetskiĭ, M.; Perelomov, A.; Roslyĭ, A. Some examples of instantons in sigma models. II: \(K3\) manifolds. (English) Zbl 0766.53063 Int. J. Mod. Phys. A 5, No. 11, 2067-2085 (1990). Reviewer: Leszek M. Sokołowski (Kraków) MSC: 53C80 81T60 58E20 14J28 32L81 81T13 PDFBibTeX XMLCite \textit{Ya. Kogan} et al., Int. J. Mod. Phys. A 5, No. 11, 2067--2085 (1990; Zbl 0766.53063) Full Text: DOI
Kogan, Ya. I.; Markushevich, D. G.; Morozov, A. Yu.; Olshanetskiĭ, M. A.; Perelomov, A. M.; Roslyĭ, A. A. Some examples of instantons in sigma models. (English) Zbl 0763.53067 Int. J. Mod. Phys. A 5, No. 11, 2053-2066 (1990). Reviewer: L.M.Sokołowski (Kraków) MSC: 53C80 58E20 14J28 32L81 81T13 PDFBibTeX XMLCite \textit{Ya. I. Kogan} et al., Int. J. Mod. Phys. A 5, No. 11, 2053--2066 (1990; Zbl 0763.53067) Full Text: DOI
Hitchin, Nigel J. The geometry and topology of moduli spaces. (English) Zbl 0722.58009 Global geometry and mathematical physics, Lect. 2nd Sess. CIME, Montecatini Terme/Italy 1988, Lect. Notes Math. 1451, 1-48 (1990). Reviewer: V.Abramov (Tartu) MSC: 58D27 32G15 81T13 53C80 PDFBibTeX XML
Hoang Le Minh Singularities of complex-analytic solutions of the self-dual Yang-Mills equations. (English. Russian original) Zbl 0697.58060 Russ. Math. Surv. 43, No. 3, 207-208 (1988); translation from Usp. Mat. Nauk 43, No. 3(261), 197-198 (1988). Reviewer: S.Donaldson MSC: 58J99 32L05 32Sxx 32L25 81T08 PDFBibTeX XMLCite \textit{Hoang Le Minh}, Russ. Math. Surv. 43, No. 3, 207--208 (1988; Zbl 0697.58060); translation from Usp. Mat. Nauk 43, No. 3(261), 197--198 (1988) Full Text: DOI
Braam, Peter J. A Kaluza-Klein approach to hyperbolic three-manifolds. (English) Zbl 0684.53028 Enseign. Math., II. Sér. 34, No. 3-4, 275-311 (1988). Reviewer: S.K.Donaldson MSC: 53C05 57N10 32L25 53C55 83E15 81T08 PDFBibTeX XMLCite \textit{P. J. Braam}, Enseign. Math. (2) 34, No. 3--4, 275--311 (1988; Zbl 0684.53028)
Manin, Yuri I. Gauge field theory and complex geometry. Transl. from the Russian by N. Koblitz and J. R. King. (English) Zbl 0641.53001 Grundlehren der Mathematischen Wissenschaften, 289. Berlin etc.: Springer-Verlag. x, 296 p. DM 154.00 (1988). MSC: 53-02 58-02 32-02 53C80 58J90 81-02 83E50 PDFBibTeX XMLCite \textit{Y. I. Manin}, Gauge field theory and complex geometry. Transl. from the Russian by N. Koblitz and J. R. King. Berlin etc.: Springer-Verlag (1988; Zbl 0641.53001)
Li, Jun; Yau, Shing Tung Hermitian-Yang-Mills connection on non-Kähler manifolds. (English) Zbl 0664.53011 Mathematical aspects of string theory, Proc. Conf., San Diego/Calif. 1986, Adv. Ser. Math. Phys. 1, 560-573 (1987). Reviewer: N.Hitchin MSC: 53C05 32L05 35Q99 81T08 PDFBibTeX XML
Itoh, Mitsuhiro Singularities of the moduli space of Yang-Mills fields. (English) Zbl 0629.32020 Proc. Japan Acad., Ser. A 63, 170-173 (1987). Reviewer: M.Murray MSC: 32G13 32Sxx 53C55 35Q99 PDFBibTeX XMLCite \textit{M. Itoh}, Proc. Japan Acad., Ser. A 63, 170--173 (1987; Zbl 0629.32020) Full Text: DOI
Buchdahl, N. P. Instantons on \({\mathbb{C}}{\mathbb{P}}_ 2\). (English) Zbl 0586.32034 J. Differ. Geom. 24, 19-52 (1986). MSC: 32L05 32L10 32L25 14F05 32G13 PDFBibTeX XMLCite \textit{N. P. Buchdahl}, J. Differ. Geom. 24, 19--52 (1986; Zbl 0586.32034) Full Text: DOI
Donaldson, S. K. Vector bundles on the flag manifold and the Ward correspondence. (English) Zbl 0578.53023 Geometry today, Int. Conf., Rome 1984, Prog. Math. 60, 109-119 (1985). Reviewer: N.Hitchin MSC: 53C10 53C80 32L25 PDFBibTeX XML
Korepin, V. E.; Shatashvili, S. L. A three-instanton solution. (English. Russian original) Zbl 0574.14015 Math. USSR, Izv. 24, 307-320 (1985); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 48, No. 2, 331-346 (1984). Reviewer: V.Brînzănescu MSC: 14F05 32L05 81T08 PDFBibTeX XMLCite \textit{V. E. Korepin} and \textit{S. L. Shatashvili}, Math. USSR, Izv. 24, 307--320 (1985; Zbl 0574.14015); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 48, No. 2, 331--346 (1984) Full Text: DOI
Manin, Yu. I. Gauge fields and complex geometry. (Kalibrovochnye polya i kompleksnaya geometriya). (Russian) Zbl 0576.53002 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 336 p. R. 2.70 (1984). Reviewer: V.Oproiu MSC: 53-02 58-02 32-02 53C80 58J90 81-02 83E50 PDFBibTeX XML
Catenacci, R.; Cornalba, M.; Reina, C. On the energy spectrum and parameter spaces of classical C\(P^ n\) models. (English) Zbl 0522.32019 Commun. Math. Phys. 89, 375-386 (1983). MSC: 32G13 14H15 81T08 31B05 32H99 32G15 PDFBibTeX XMLCite \textit{R. Catenacci} et al., Commun. Math. Phys. 89, 375--386 (1983; Zbl 0522.32019) Full Text: DOI
Trautmann, Günther Yang-Mills fields and vector bundles. (English) Zbl 0543.53051 Gauge theories: fundamental interactions and rigorous results, Lect. 1981 int. Summer Sch. Theor. Phys., Poiana Brasov/Romania, Prog. Phys. 5, 145-176 (1982). MSC: 53C80 55R99 32L99 81T08 PDFBibTeX XML
Gindikin, S. G. Twistor representation of the solutions of a Maxwell system. (Russian) Zbl 0478.58033 Funkts. Anal. Prilozh. 14, No. 4, 64-66 (1980). MSC: 58J90 35Q99 81T08 58D30 83C50 81R10 53C80 14F05 32L05 14F99 PDFBibTeX XMLCite \textit{S. G. Gindikin}, Funkts. Anal. Prilozh. 14, No. 4, 64--66 (1980; Zbl 0478.58033)
Douady, A. (ed.); Verdier, J.-L. (ed.) [Iliopoulos, J.; Stora, R.; Douady, A.; Aupetit, Hubert; Verdier, J.-L.; Bourguignon, Jean-Pierre; Ferrand, Daniel; Horrocks, Geoffrey; Barth, Wolf; Gruson, L.; Peskine, C.] The Yang-Mills equations. Seminaire E.N.S. 1977-1978. (Les équations de Yang-Mills. Seminaire E.N.S. 1977-1978.) (French) Zbl 0457.14009 Astérisque. 71-72. Paris: Societe Mathematique de France. 237 p. (1980). MSC: 14-06 00B25 55-06 53-06 14F05 81T08 32L05 PDFBibTeX XML
Kleinert, Werner Stable rank 2-vector bundles on the projective 3-space, their moduli, and the classification of instantons. (English) Zbl 0453.14006 Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 25, 206-246 (1980). MSC: 14F05 14D20 81T08 32L05 PDFBibTeX XMLCite \textit{W. Kleinert}, Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 25, 206--246 (1980; Zbl 0453.14006)
Ward, R. S. The self-dual Yang-Mills and Einstein equations. (English) Zbl 0497.53059 Complex manifold techniques in theoretical physics, Workshop, Lawrence/Kansas 1978, Res. Notes Math. 32, 12-34 (1979). MSC: 53C80 32Q99 81T08 PDFBibTeX XML
Atiyah, Michael F. Geometry of Yang-Mills fields. (English) Zbl 0435.58001 Lezioni Fermiane. Pisa: Accademia Nazionale dei Lincei. Scuola Normale Superiore. 98 p. (1979). Reviewer: M. E. Mayer MSC: 58-02 53-02 53C07 53C28 53C80 58D15 58D30 58E15 81T13 81T08 14D21 14F05 32L05 32L10 58Jxx 70S15 PDFBibTeX XML