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Positivity in Lie groups and representation varieties
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Preprint
2026
Repository Open Access
Generalizing Lusztig's total positivity II : geometric properties
Preprint
2026
Repository Open Access
Mutation of matrices over group rings
Preprint
2026
Repository Open Access
Noncommutative cluster varieties and moduli spaces of local systems
Preprint
2026
Repository Open Access
Odd magical triples and maximal Higgs bundles
inJournal
2026
Journal Open Access
Connected components of the space of flags of \(\mathrm{SO}_0(p,q)\) transverse to a fixed pair and restrictions on Anosov subgroups
In: The journal of the London Mathematical Society, 113 (2026) 3, e70475inJournal
2026
Journal Open Access
Multiplicative inequalities in cluster algebras of finite type
In: Algebraic combinatorics, 9 (2026) 1, pp. 51-74inJournal
2026
Journal Open Access
Noncommutative polygonal cluster algebras
In: The journal of the London Mathematical Society, 113 (2026) 4, e70511inJournal
2026
Journal Open Access
Positivity and representations of surface groups
In: Forum of mathematics / Pi, 14 (2026), e6Book
2026
Journal Open Access
Spectral networks : bridging higher-rank Teichmüller theory and BPS states
Open Access. - Cham : Springer, 2026.(Lecture notes in mathematics ; 2386)
ISBN: 978-3-032-09218-2, ISBN: 978-3-032-09219-9
inJournal
2026
Journal Open Access
Volume, entropy, and diameter in \({\rm SO}(p,q+1)\)-higher Teichmüller spaces
In: Commentarii mathematici Helvetici, 101 (2026) 3, pp. 555-596Preprint
2025
Repository Open Access
(BAA)-branes from higher Teichmüller theory
inJournal
2025
Journal Open Access
\(\mathrm{SL}_2\)-like properties of matrices over noncommutative rings and generalizations of Markov numbers
In: Advances in mathematics, 482 (2025) A, p. 110556inJournal
2025
Journal Open Access
Cluster modular groups of affine and doubly extended cluster algebras
In: Mathematische Zeitschrift, 310 (2025) 2, p. 31Preprint
2025
Repository Open Access
Dominating manifolds by radial spaces
inJournal
2025
Journal Open Access
Fiber bundles associated with Anosov representations
In: Forum of mathematics / Sigma, 13 (2025), e57inJournal
2025
Journal Open Access
Generalizing Lusztig's total positivity
In: Inventiones mathematicae, 239 (2025) 3, pp. 707-799Preprint
2025
Repository Open Access
Self-intersecting curves on a pair of pants and periodic orbits of Hamiltonian flows
Preprint
2025
Repository Open Access
Symmetric spaces for groups over involutive algebras and applications to Higgs bundles
Preprint
2025
Repository Open Access
Symplectic groups over Lie subgroups of involutive algebras
inJournal
2025
Repository Open Access
Thurston's asymmetric metrics for Anosov representations
In: Groups, geometry, and dynamics, 19 (2025) 3, pp. 731-796Preprint
2025
Repository Open Access
Topology of the space of d-pleated surfaces
Preprint
2024
Repository Open Access
Almost-Fuchsian representations in \(PU(2,1)\)
Preprint
2024
Repository Open Access
Filtered Stokes G-local systems in nonabelian Hodge theory on curves
Preprint
2024
Repository Open Access
Invariant multi-functions and Hamiltonian flows for surface group representations
Preprint
2024
Repository Open Access
Parahoric reduction theory of formal connections (or Higgs fields)
Preprint
2024
Repository Open Access
Positivity, cross-ratios and the Collar Lemma
inJournal
2024
Repository Open Access
Restrictions on Anosov subgroups of \(Sp(2n,\mathbb{R})\)
In: Transactions of the American Mathematical Society, 377 (2024) 10, pp. 6863-6882Preprint
2023
Repository Open Access
Fock bundles and Hitchin components
inJournal
2023
Journal Open Access
Infinitesimal modular group : \(q\)-deformed \(\mathfrak{sl}_2\) and Witt algebra
In: Symmetry, integrability and geometry : methods and applications (SIGMA), 20 (2023), p. 053Preprint
2023
Repository Open Access
Structure constants for simple Lie algebras from principal \(\mathfrak{sl}_2\)-triple
Preprint
2022
Repository Open Access
Parametrizing spaces of positive representations
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