WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalities

DOI10.1007/s00220-024-05133-0MaRDI QIDQ6634223

Andrew Neitzke, Anton Alekseev, Xiaomeng Xu, Yan Zhou

Publication date: 7 November 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Symplectic geometry, contact geometry (53Dxx) Quantum field theory; related classical field theories (81Txx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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Stability conditions and Stokes factors
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Inequalities from Poisson brackets
WKB periods for higher order ODE and TBA equations
The Gelfand-Cetlin system and quantization of the complex flag manifolds
Poisson Lie groups, dressing transformations, and Bruhat decompositions
Voros resurrection and periods of hyperelliptic curves
Stokes matrices, Poisson Lie groups and Frobenius manifolds.
Donaldson-Thomas transformations of moduli spaces of G-local systems
Riemann-Hilbert problems from Donaldson-Thomas theory
Conformal field theory of Painlevé VI
Perturbation theory for linear operators.
Wonderful models of subspace arrangements
Wall-crossing, Hitchin systems, and the WKB approximation
Formal power series and linear systems of meromorphic ordinary differential equations
Isomonodromic tau-functions from Liouville conformal blocks
Langlands duality and Poisson-Lie duality via cluster theory and tropicalization
Non-perturbative approaches to the quantum Seiberg-Witten curve
Exact WKB and abelianization for the \(T_3\) equation
Crystals and monodromy of Bethe vectors
Darboux coordinates, Yang-Yang functional, and gauge theory
A symplectic proof of the Horn inequalities
Pure \( \mathcal{N}=2 \) super Yang-Mills and exact WKB
Exact WKB analysis and cluster algebras
New Stokes’ line in WKB theory
Lie-Poisson Structure on Some Poisson Lie Groups
A convexity theorem for Poisson actions of compact Lie groups
Wild non-abelian Hodge theory on curves
Summing up Dirichlet Instantons
The U ( n ) Gelfand–Zeitlin system as a tropical limit of Ginzburg–Weinstein diffeomorphisms
Topology of the Stokes phenomenon
Schubert problems with respect to osculating flags of stable rational curves
Dressing transformations and Poisson group actions

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