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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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Grant, Mark; Schutte, Baylee

Projective span of Wall manifolds. (English) Zbl 07910997

Bol. Soc. Mat. Mex., III. Ser. 30, No. 3, Paper No. 75, 21 p. (2024).

MSC: 57R25 55S40 57R19 15A66

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Do, Viet Cuong

On the motives of moduli of parabolic chains and parabolic Higgs bundles. (English) Zbl 07863197

Bull. Sci. Math. 193, Article ID 103449, 51 p. (2024).

MSC: 14D20 14H60

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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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Ganguli, Saibal; Poddar, Mainak

Heegaard Floer invariants for cyclic 3-orbifolds. (English) Zbl 07826231

J. Knot Theory Ramifications 33, No. 1, Article ID 2350103, 17 p. (2024).

MSC: 57R58 57R18 57K35

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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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Blau, Matthias; Kakona, Mbambu; Thompson, George

3 definitions of BF theory on homology 3-spheres. (English) Zbl 07694034

J. High Energy Phys. 2023, No. 4, Paper No. 146, 45 p. (2023).

MSC: 81T45 57K16 57R56

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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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Meyer, Philippe

Cubic Dirac operators and the strange Freudenthal-de Vries formula for colour Lie algebras. (English) Zbl 1515.17038

Transform. Groups 27, No. 4, 1307-1336 (2022).

MSC: 17B75 17B56

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Sivek, Steven; Zentner, Raphael

\(SU(2)\)-cyclic surgeries and the pillowcase. (English) Zbl 1498.57008

J. Differ. Geom. 121, No. 1, 101-185 (2022).

Reviewer: Toshio Saito (Joetsu)

MSC: 57K10 57K18 57K31

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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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Conway, Anthony

The Levine-Tristram signature: a survey. (English) Zbl 1481.57007

Wood, David R. (ed.) et al., 2019–20 MATRIX annals. Cham: Springer. MATRIX Book Ser. 4, 31-56 (2021).

MSC: 57K10 57-02

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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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Argyres, Philip C.; Chalykh, Oleg; Lü, Yongchao

Inozemtsev system as Seiberg-Witten integrable system. (English) Zbl 1466.81036

J. High Energy Phys. 2021, No. 5, Paper No. 51, 28 p. (2021).

MSC: 81R12 81T60

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Kydonakis, Georgios; Sun, Hao; Zhao, Lutian

The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs \(V\)-bundles and components of parabolic \(\operatorname{Sp}(2n,\mathbb{R})\)-Higgs moduli spaces. (English) Zbl 1464.14016

Trans. Am. Math. Soc. 374, No. 6, 4023-4057 (2021).

Reviewer: Ahmed Lesfari (El Jadida)

MSC: 14D20 55N32 14H40 14D21 14H70

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Perego, Arvid

Kobayashi-Hitchin correspondence for twisted vector bundles. (English) Zbl 1464.32031

Complex Manifolds 8, 1-95 (2021).

MSC: 32J27 32L05 32L25

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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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Benard, Leo; Conway, Anthony

A multivariable Casson-Lin type invariant. (Un invariant de Casson-Lin multivarié.) (English. French summary) Zbl 1464.57017

Ann. Inst. Fourier 70, No. 3, 1029-1084 (2020).

Reviewer: Leila Ben Abdelghani (Monastir)

MSC: 57K16 57K10

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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

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Garcia-Prada, Oscar; Wilkin, Graeme

Action of the mapping class group on character varieties and Higgs bundles. (English) Zbl 1451.14108

Doc. Math. 25, 841-868 (2020).

Reviewer: Ahmed Lesfari (El Jadida)

MSC: 14H60 58D27 58D29

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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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Mathai, Varghese; Wilkin, Graeme

Fractional quantum numbers via complex orbifolds. (English) Zbl 1437.81210

Lett. Math. Phys. 109, No. 11, 2473-2484 (2019).

MSC: 81V70 58J52 81Q10 82C70 82C40 30F10 57R10

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Gothen, Peter B.; Oliveira, André G.

Topological mirror symmetry for parabolic Higgs bundles. (English) Zbl 1412.14025

J. Geom. Phys. 137, 7-34 (2019).

Reviewer: Ahmed Lesfari (El Jadida)

MSC: 14H60 14H40 14H70

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Baldwin, John A.; Sivek, Steven

Stein fillings and \(\operatorname{SU}(2)\) representations. (English) Zbl 1407.57019

Geom. Topol. 22, No. 7, 4307-4380 (2018).

Reviewer: Mihail Banaru (Smolensk)

MSC: 57R17 57M27 57R58

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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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Meneses, Claudio

Remarks on groups of bundle automorphisms over the Riemann sphere. (English) Zbl 1402.22025

Geom. Dedicata 196, 63-90 (2018).

MSC: 22F50 32L05 14M15 22E25 14D20

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Candelori, Luca

The Chevalley-Weil formula for orbifold curves. (English) Zbl 1400.14079

SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 071, 17 p. (2018).

Reviewer: Maria Montanucci (Umbertide)

MSC: 14H30 14H37 14H45

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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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Kim, Semin; Wilkin, Graeme

Analytic convergence of harmonic metrics for parabolic Higgs bundles. (English) Zbl 1392.32006

J. Geom. Phys. 127, 55-67 (2018).

MSC: 32L05 32G08 30F99

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Matveeva, A. A.; Poberezhny, V. A.

Two-dimensional Riemann problem for rigid representations on an elliptic curve. (English) Zbl 1361.35124

J. Geom. Phys. 114, 384-393 (2017).

MSC: 35Q15 14H52

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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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García-Raboso, Alberto; Rayan, Steven

Introduction to nonabelian Hodge theory. Flat connections, Higgs bundles and complex variations of Hodge structure. (English) Zbl 1329.14002

Laza, Radu (ed.) et al., Calabi-Yau varieties: arithmetic, geometry and physics. Lecture notes on concentrated graduate courses, Toronto, Canada, July 1 – December 31, 2013. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2829-3/hbk; 978-1-4939-2830-9/ebook). Fields Institute Monographs 34, 131-171 (2015).

MSC: 14-02 14C30 14D07