Dai, Xian Geodesic coordinates for the pressure metric at the Fuchsian locus. (English) Zbl 07699413 Geom. Topol. 27, No. 4, 1391-1478 (2023). Reviewer: Georgios Kydonakis (Patras) MSC: 53C22 32G15 37D35 20F65 57M50 PDF BibTeX XML Cite \textit{X. Dai}, Geom. Topol. 27, No. 4, 1391--1478 (2023; Zbl 07699413) Full Text: DOI arXiv
Ozan, Yıldıray Equivariant Picard groups of the moduli spaces of some finite abelian covers of the Riemann sphere. (English) Zbl 1507.14051 Topology Appl. 326, Article ID 108429, 6 p. (2023). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14H60 14C22 57M12 57M60 PDF BibTeX XML Cite \textit{Y. Ozan}, Topology Appl. 326, Article ID 108429, 6 p. (2023; Zbl 1507.14051) Full Text: DOI
Alim, Murad; Beck, Florian; Fredrickson, Laura Parabolic Higgs bundles, \(tt^\ast\) connections and opers. (English) Zbl 1512.14006 Asian J. Math. 26, No. 4, 455-506 (2022). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14D07 14D21 53C07 14J32 PDF BibTeX XML Cite \textit{M. Alim} et al., Asian J. Math. 26, No. 4, 455--506 (2022; Zbl 1512.14006) Full Text: DOI arXiv
Hausel, Tamás; Hitchin, Nigel Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. (English) Zbl 1497.14022 Invent. Math. 228, No. 2, 893-989 (2022). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14D20 14H60 14D21 32G13 14J33 PDF BibTeX XML Cite \textit{T. Hausel} and \textit{N. Hitchin}, Invent. Math. 228, No. 2, 893--989 (2022; Zbl 1497.14022) Full Text: DOI arXiv
Brivio, Sonia; Favale, Filippo F. Coherent systems and BGN extensions on nodal reducible curves. (English) Zbl 1490.14056 Int. J. Math. 33, No. 4, Article ID 2250027, 27 p. (2022). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14H60 14F06 14D20 PDF BibTeX XML Cite \textit{S. Brivio} and \textit{F. F. Favale}, Int. J. Math. 33, No. 4, Article ID 2250027, 27 p. (2022; Zbl 1490.14056) Full Text: DOI arXiv
Biswas, Indranil Numerical flatness and principal bundles on Fujiki manifolds. (English) Zbl 1484.14084 Differ. Geom. Appl. 80, Article ID 101841, 10 p. (2022). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14J60 32L05 32J25 PDF BibTeX XML Cite \textit{I. Biswas}, Differ. Geom. Appl. 80, Article ID 101841, 10 p. (2022; Zbl 1484.14084) Full Text: DOI arXiv
Kawai, Kotaro; Yamamoto, Hikaru Deformation theory of deformed Donaldson-Thomas connections for \(\mathrm{Spin}(7)\)-manifolds. (English) Zbl 1482.53031 J. Geom. Anal. 31, No. 12, 12098-12154 (2021). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 53C07 58D27 58H15 53D37 53C25 53C38 PDF BibTeX XML Cite \textit{K. Kawai} and \textit{H. Yamamoto}, J. Geom. Anal. 31, No. 12, 12098--12154 (2021; Zbl 1482.53031) Full Text: DOI arXiv
Godinho, Leonor; Mandini, Alessia Quasi-parabolic Higgs bundles and null hyperpolygon spaces. (English) Zbl 1473.14019 Trans. Am. Math. Soc. 374, No. 10, 7411-7447 (2021). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14D20 14H60 53C26 53D20 PDF BibTeX XML Cite \textit{L. Godinho} and \textit{A. Mandini}, Trans. Am. Math. Soc. 374, No. 10, 7411--7447 (2021; Zbl 1473.14019) Full Text: DOI arXiv
Moon, Han-Bom; Yoo, Sang-Bum Finite generation of the algebra of type a conformal blocks via birational geometry. (English) Zbl 1478.14055 Int. Math. Res. Not. 2021, No. 7, 4941-4974 (2021); corrigendum ibid. 2021, no. 7, 4975 (2021). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14H60 14E05 14E30 PDF BibTeX XML Cite \textit{H.-B. Moon} and \textit{S.-B. Yoo}, Int. Math. Res. Not. 2021, No. 7, 4941--4974 (2021; Zbl 1478.14055) Full Text: DOI arXiv
Dumitrescu, Olivia; Mulase, Motohico Interplay between opers, quantum curves, WKB analysis, and Higgs bundles. (English) Zbl 1469.14067 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 036, 53 p. (2021). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14H15 14N35 81T45 14F10 14J26 33C05 33C10 33C15 34M60 53D37 PDF BibTeX XML Cite \textit{O. Dumitrescu} and \textit{M. Mulase}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 036, 53 p. (2021; Zbl 1469.14067) Full Text: DOI arXiv
Roy, Sumit Torelli theorem for the moduli space of symplectic parabolic Higgs bundles. (English) Zbl 1462.14012 Bull. Sci. Math. 168, Article ID 102978, 23 p. (2021). Reviewer: Georgios Kydonakis (Bonn) MSC: 14D20 14D22 53D30 14H60 PDF BibTeX XML Cite \textit{S. Roy}, Bull. Sci. Math. 168, Article ID 102978, 23 p. (2021; Zbl 1462.14012) Full Text: DOI arXiv
Franco, Emilio; Gothen, Peter B.; Oliveira, André; Peón-Nieto, Ana Unramified covers and branes on the Hitchin system. (English) Zbl 1457.14089 Adv. Math. 377, Article ID 107493, 62 p. (2021). Reviewer: Georgios Kydonakis (Bonn) MSC: 14J33 14D21 PDF BibTeX XML Cite \textit{E. Franco} et al., Adv. Math. 377, Article ID 107493, 62 p. (2021; Zbl 1457.14089) Full Text: DOI arXiv
Bhosle, Usha N. Moduli spaces of vector bundles on a real nodal curve. (English) Zbl 1446.14019 Beitr. Algebra Geom. 61, No. 4, 615-626 (2020). Reviewer: Georgios Kydonakis (Bonn) MSC: 14H60 PDF BibTeX XML Cite \textit{U. N. Bhosle}, Beitr. Algebra Geom. 61, No. 4, 615--626 (2020; Zbl 1446.14019) Full Text: DOI
Wang, Yuanqi Moduli spaces of \(G_2\)-instantons and \(\mathrm{Spin}(7)\)-instantons on product manifolds. (English) Zbl 1450.53035 Ann. Henri Poincaré 21, No. 9, 2997-3033 (2020). Reviewer: Georgios Kydonakis (Bonn) MSC: 53C10 53C27 53C07 81T13 32Q60 58D27 PDF BibTeX XML Cite \textit{Y. Wang}, Ann. Henri Poincaré 21, No. 9, 2997--3033 (2020; Zbl 1450.53035) Full Text: DOI arXiv
Sun, Hao Deformation of locally free sheaves and Hitchin pairs over nodal curve. (English) Zbl 1451.13055 J. Korean Math. Soc. 57, No. 4, 809-823 (2020). Reviewer: Georgios Kydonakis (Bonn) MSC: 13D10 14B12 14H60 14D20 PDF BibTeX XML Cite \textit{H. Sun}, J. Korean Math. Soc. 57, No. 4, 809--823 (2020; Zbl 1451.13055) Full Text: DOI arXiv
Biquard, Olivier; García-Prada, Oscar; Mundet i Riera, Ignasi Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group. (English) Zbl 1451.14111 Adv. Math. 372, Article ID 107305, 69 p. (2020). Reviewer: Georgios Kydonakis (Bonn) MSC: 14H70 14H60 PDF BibTeX XML Cite \textit{O. Biquard} et al., Adv. Math. 372, Article ID 107305, 69 p. (2020; Zbl 1451.14111) Full Text: DOI arXiv
Fredrickson, Laura Exponential decay for the asymptotic geometry of the Hitchin metric. (English) Zbl 1448.53028 Commun. Math. Phys. 375, No. 2, 1393-1426 (2020). Reviewer: Georgios Kydonakis (Bonn) MSC: 53C07 53C26 PDF BibTeX XML Cite \textit{L. Fredrickson}, Commun. Math. Phys. 375, No. 2, 1393--1426 (2020; Zbl 1448.53028) Full Text: DOI arXiv
Volkov, Boris. O. Lévy Laplacian on manifold and Yang-Mills heat flow. (English) Zbl 1432.58009 Lobachevskii J. Math. 40, No. 10, 1619-1630 (2019). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 58E15 58B20 PDF BibTeX XML Cite \textit{Boris. O. Volkov}, Lobachevskii J. Math. 40, No. 10, 1619--1630 (2019; Zbl 1432.58009) Full Text: DOI arXiv
Basu, Suratno; Paul, Arjun; Saha, Arideep System of Hodge bundles and generalized opers on smooth projective varieties. (English) Zbl 1437.14046 J. Geom. Phys. 145, Article ID 103484, 10 p. (2019); corrigendum ibid. 150, Article ID 103614, 3 p. (2020). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 14J60 70G45 PDF BibTeX XML Cite \textit{S. Basu} et al., J. Geom. Phys. 145, Article ID 103484, 10 p. (2019; Zbl 1437.14046) Full Text: DOI arXiv
Ballico, Edoardo; Huh, Sukmoon Existence of nontrivial logarithmic co-Higgs structure on curves. (English) Zbl 1441.14113 Int. J. Math. 30, No. 5, Article ID 1950025, 26 p. (2019). Reviewer: Georgios Kydonakis (Bonn) MSC: 14H60 14D20 14J60 53D18 PDF BibTeX XML Cite \textit{E. Ballico} and \textit{S. Huh}, Int. J. Math. 30, No. 5, Article ID 1950025, 26 p. (2019; Zbl 1441.14113) Full Text: DOI arXiv
Biswas, Indranil; Calvo, Luis Angel; Franco, Emilio; García-Prada, Oscar Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles. (English) Zbl 1428.14057 J. Geom. Phys. 142, 47-65 (2019). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 14H60 14D20 14H52 PDF BibTeX XML Cite \textit{I. Biswas} et al., J. Geom. Phys. 142, 47--65 (2019; Zbl 1428.14057) Full Text: DOI
Scaduto, Christopher W.; Stoffregen, Matthew The mod two cohomology of the moduli space of rank two stable bundles on a surface and skew Schur polynomials. (English) Zbl 1426.57050 Can. J. Math. 71, No. 3, 683-715 (2019). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 57R58 14D20 14H60 PDF BibTeX XML Cite \textit{C. W. Scaduto} and \textit{M. Stoffregen}, Can. J. Math. 71, No. 3, 683--715 (2019; Zbl 1426.57050) Full Text: DOI arXiv
Xu, Binbin Incompleteness of the pressure metric on the Teichmüller space of a bordered surface. (English) Zbl 1414.37022 Ergodic Theory Dyn. Syst. 39, No. 6, 1710-1728 (2019). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 37D40 37B40 32G15 30F60 PDF BibTeX XML Cite \textit{B. Xu}, Ergodic Theory Dyn. Syst. 39, No. 6, 1710--1728 (2019; Zbl 1414.37022) Full Text: DOI arXiv
Fredrickson, Laura Perspectives on the asymptotic geometry of the Hitchin moduli space. (English) Zbl 1416.53023 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 018, 20 p. (2019). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 53C07 53C26 PDF BibTeX XML Cite \textit{L. Fredrickson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 018, 20 p. (2019; Zbl 1416.53023) Full Text: DOI arXiv
Eskin, Alex; Masur, Howard; Rafi, Kasra Rigidity of Teichmüller space. (English) Zbl 1417.32017 Geom. Topol. 22, No. 7, 4259-4306 (2018). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 32G15 30F60 PDF BibTeX XML Cite \textit{A. Eskin} et al., Geom. Topol. 22, No. 7, 4259--4306 (2018; Zbl 1417.32017) Full Text: DOI arXiv
Charles, Laurent; Jeffrey, Lisa Torsion and symplectic volume in Seifert manifolds. (Torsion et volume symplectique des variétés de Seifert.) (English. French summary) Zbl 1407.30023 Bull. Soc. Math. Fr. 146, No. 2, 287-308 (2018). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 30F99 53D30 14D21 57Q10 PDF BibTeX XML Cite \textit{L. Charles} and \textit{L. Jeffrey}, Bull. Soc. Math. Fr. 146, No. 2, 287--308 (2018; Zbl 1407.30023) Full Text: 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 PDF BibTeX XML Cite \textit{S. Kharchev} et al., J. Math. Phys. 59, No. 10, 103509, 36 p. (2018; Zbl 1408.53035) Full Text: DOI arXiv
Sancho, Álvaro Antón Automorphisms of order three of the moduli space of spin-Higgs bundles. (English) Zbl 1400.14033 Hokkaido Math. J. 47, No. 2, 387-426 (2018). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 14D20 32G13 14H70 14H60 14L30 PDF BibTeX XML Cite \textit{Á. A. Sancho}, Hokkaido Math. J. 47, No. 2, 387--426 (2018; Zbl 1400.14033) Full Text: DOI Euclid
LeBrun, Claude Twistors, hyper-Kähler manifolds, and complex moduli. (English) Zbl 1412.53072 Chiossi, Simon G. (ed.) et al., Special metrics and group actions in geometry. Proceedings of the INdAM workshop “New perspectives in differential geometry”, on the occasion of the 60th birthday of Simon Salamon, Rome, Italy, November 16–20, 2015. Cham: Springer. Springer INdAM Ser. 23, 207-214 (2017). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 53C26 53C28 58D27 PDF BibTeX XML Cite \textit{C. LeBrun}, Springer INdAM Ser. 23, 207--214 (2017; Zbl 1412.53072) Full Text: DOI arXiv
Hollands, Lotte; Neitzke, Andrew BPS states in the Minahan-Nemeschansky \({E_6}\) theory. (English) Zbl 1505.14028 Commun. Math. Phys. 353, No. 1, 317-351 (2017). Reviewer: Georgios Kydonakis (Heidelberg) MSC: 14D21 81T60 81T30 30F99 47A25 PDF BibTeX XML Cite \textit{L. Hollands} and \textit{A. Neitzke}, Commun. Math. Phys. 353, No. 1, 317--351 (2017; Zbl 1505.14028) Full Text: DOI arXiv