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González-Prieto, Ángel; Logares, Marina; Martínez, Javier; Muñoz, Vicente

Stratification of \(\mathrm{SU}(r)\)-character varieties of twisted Hopf links. (English) Zbl 07915461

Gothen, Peter (ed.) et al., Moduli spaces and vector bundles – new trends. VBAC 2022 conference in honor of Peter Newstead’s 80th birthday, University of Warwick, Coventry, United kingdom, July 25–29, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 803, 257-278 (2024).

MSC: 14M35 57K31 53Cxx

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Kydonakis, Georgios; Sun, Hao; Zhao, Lutian

Poisson structures on moduli spaces of Higgs bundles over stacky curves. (English) Zbl 07844821

Adv. Geom. 24, No. 2, 163-182 (2024).

MSC: 14A20 14D20 53D17

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Kydonakis, Georgios; Sun, Hao; Zhao, Lutian

Logahoric Higgs torsors for a complex reductive group. (English) Zbl 1541.14020

Math. Ann. 388, No. 3, 3183-3228 (2024).

Reviewer: Souradeep Majumder (Tirupati)

MSC: 14D23 32Q26 14L15 53D17

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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

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Schaffhauser, Florent

Symmetric differentials and the dimension of Hitchin components for orbi-curves. (English) Zbl 1542.30036

Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 129-140 (2022).

MSC: 30F35 30F30 53C07

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Kydonakis, Georgios; Sun, Hao; Zhao, Lutian

Monodromy of rank 2 parabolic Hitchin systems. (English) Zbl 1475.14017

J. Geom. Phys. 171, Article ID 104411, 18 p. (2022).

Reviewer: Ahmed Lesfari (El Jadida)

MSC: 14D21 53D18 14H70 14H60

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Biswas, Indranil; Bradlow, Steven; Dumitrescu, Sorin; Heller, Sebastian

Uniformization of branched surfaces and Higgs bundles. (English) Zbl 1483.30078

Int. J. Math. 32, No. 13, Article ID 2150096, 19 p. (2021).

MSC: 30F10 14H60 14D21 53C43

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Mochizuki, Takuro

Good wild harmonic bundles and good filtered Higgs bundles. (English) Zbl 1489.53032

SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 068, 66 p. (2021).

Reviewer: Shihshu Walter Wei (Norman)

MSC: 53C07 58E15 14D21 81T13

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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

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Kydonakis, Georgios; Sun, Hao; Zhao, Lutian

Topological invariants of parabolic \(G\)-Higgs bundles. (English) Zbl 1457.14026

Math. Z. 297, No. 1-2, 585-632 (2021).

Reviewer: Ahmed Lesfari (El Jadida)

MSC: 14D20 14H60 58E15 14D21 53C07 14H70 14P25

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Mochizuki, Takuro

Kobayashi-Hitchin correspondence for analytically stable bundles. (English) Zbl 1433.53038

Trans. Am. Math. Soc. 373, No. 1, 551-596 (2020).

Reviewer: Léonard Todjihounde (Abomey-Calavi)

MSC: 53C07 14D21

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Closset, Cyril; Kim, Heeyeon; Willett, Brian

Seifert fibering operators in 3d \( \mathcal{N}=2 \) theories. (English) Zbl 1404.81253

J. High Energy Phys. 2018, No. 11, Paper No. 4, 152 p. (2018).

MSC: 81T60 53Z05 81T45 83C80

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Heller, Sebastian; Schaposnik, Laura P.

Branes through finite group actions. (English) Zbl 1388.81546

J. Geom. Phys. 129, 279-293 (2018).

MSC: 81T30 53C26 14D05 14D21 81V22

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Li, Ti Yao; Chen, Bo Hui

Hamiltonian Gromov-Witten invariants on \(\mathbb{C}^{n+1}\) with \(S^1\)-action. (English) Zbl 1364.53086

Acta Math. Sin., Engl. Ser. 32, No. 3, 309-330 (2016).

MSC: 53D45 14N35

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Blau, Matthias; Thompson, George

Chern-Simons theory on Seifert 3-manifolds. (English) Zbl 1342.53112

J. High Energy Phys. 2013, No. 9, Paper No. 033, 25 p. (2013).

MSC: 53Z05 58J52 14J81 14C40

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Biswas, Indranil; Majumder, Souradeep; Wong, Michael Lennox

Root stacks, principal bundles and connections. (English) Zbl 1260.14017

Bull. Sci. Math. 136, No. 4, 369-398 (2012).

Reviewer: Hans U. Boden (Hamilton/Ontario)

MSC: 14D23 14H60 53B15

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Biswas, Indranil

Holomorphic vector bundles on Sasakian threefolds and parabolic vector bundles. (English) Zbl 1311.53042

J. Math. Phys. 51, No. 6, 063508, 7 p. (2010).

MSC: 53C25 32L10 30F10

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Wehrheim, Katrin; Woodward, Chris T.

Functoriality for Lagrangian correspondences in Floer theory. (English) Zbl 1206.53088

Quantum Topol. 1, No. 2, 129-170 (2010).

Reviewer: Andrzej Szczepański (Gdańsk)

MSC: 53D40 57R56 53D12 57R90 57R58 53D05

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Abreu, Miguel; Dryden, Emily B.; Freitas, Pedro; Godinho, Leonor

Hearing the weights of weighted projective planes. (English) Zbl 1140.58011

Ann. Global Anal. Geom. 33, No. 4, 373-395 (2008).

MSC: 58J50 53D20 55N91

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The decomposition of the spinor bundle of Grassmann manifolds. (English) Zbl 1152.14305

J. Math. Phys. 48, No. 11, 113511, 26 p. (2007).

MSC: 53C27 22E46 58J50 14M15

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Bechtluft-Sachs, Stefan

The computation of \(\eta\)-invariants on manifolds with free circle action. (English) Zbl 1026.53025

J. Funct. Anal. 174, No. 2, 251-263 (2000).

Reviewer: Alberto Parmeggiani (Bologna)

MSC: 53C27 58J28

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Nicolaescu, Liviu I.

Eta invariants of Dirac operators on circle bundles over Riemann surfaces and virtual dimensions of finite energy Seiberg-Witten moduli spaces. (English) Zbl 0998.58022

Isr. J. Math. 114, 61-123 (1999).

MSC: 58J50 58D27 53C27 58J20

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Guo, Guang-Yuan

Yang-Mills fields on cylindrical manifolds and holomorphic bundles. I. (English) Zbl 0857.58010

Commun. Math. Phys. 179, No. 3, 737-775 (1996).

Reviewer: L.Nicolaescu (Ann Arbor)

MSC: 58D27 53C07 58J50 53C55 58J35

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Efremov, Vladimir N.

Flat connection contribution to topology changing amplitudes in an ensemble of Seifert fibered homology spheres. (English) Zbl 0889.53051

Int. J. Theor. Phys. 35, No. 1, 63-85 (1996).

Reviewer: J.D.Zund (Las Cruces)

MSC: 53Z05 55R25

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Dupont, J. L.; Kamber, F. W.

Cheeger-Chern-Simons classes of transversally symmetric foliations: Dependence relations and eta-invariants. (English) Zbl 0793.57015

Math. Ann. 295, No. 3, 449-468 (1993).

Reviewer: J.L.Dupont, F.W.Kamber (Aarhus)

MSC: 57R30 53C12 57R20 53C35

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Nasatyr, Emile Ben

Seifert-fibred homology 3-spheres, \(V\)-surfaces and the Floer index. (English) Zbl 0756.57004

Math. Proc. Camb. Philos. Soc. 111, No. 3, 461-485 (1992).

Reviewer: W.Lück (Mainz)

MSC: 57M99 53C07 58J10 81T13

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Deninger, Ch.; Singhof, W.

The e-invariant and the spectrum of the Laplacian for compact nilmanifolds covered by Heisenberg groups. (English) Zbl 0558.55010

Invent. Math. 78, 101-112 (1984).

Reviewer: E.Ossa

MSC: 55Q45 55Q50 57T20 55R50 53C30 58J10 58J20

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