Spectral theory and mirror symmetry (Q5136615)

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scientific article; zbMATH DE number 7278406

Language	Label	Description	Also known as
English	Spectral theory and mirror symmetry	scientific article; zbMATH DE number 7278406

Statements

scholarly article

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Spectral theory and mirror symmetry (English)

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Proceedings of Symposia in Pure Mathematics

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publication date

27 November 2020

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full work available at URL

https://arxiv.org/abs/1506.07757

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MaRDI profile type

MaRDI publication profile

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Topological strings and (almost) modular forms

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Quantum geometry of refined topological strings

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Topological strings and integrable hierarchies

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The topological vertex

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Airy equation for the topological string partition function in a scaling limit

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Langer–Cherry derivation of the multi-instanton expansion for the symmetric double well

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Measuring small distances in \(N=2\) sigma models

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Spectral determinants for Schrödinger equation and \({\mathbb{Q}}\)-operators of conformal field theory

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Holomorphic anomalies in topological field theories

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Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

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<i>q</i>-deformed Painlevé<i>τ</i>function and<i>q</i>-deformed conformal blocks

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Remodeling the B-model

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Crepant resolutions and open strings II

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Brief introduction to tropical geometry

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A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.

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Local mirror symmetry: Calculations and interpretations

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The refined BPS index from stable pair invariants

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Exact results in \( \mathcal{N}=8 \) Chern-Simons-matter theories and quantum geometry

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Spectral theory and mirror curves of higher genus

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Operators and higher genus mirror curves

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Universality of the topological string at large radius and NS-brane resurgence

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Resurgent transseries and the holomorphic anomaly: nonperturbative closed strings in local \(\mathbb{CP}^2\)

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Resurgence matches quantization

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WKB methods for difference equations I

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Algebraic \(K\)-theory of toric hypersurfaces

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The ODE/IM correspondence

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From weak to strong coupling in ABJM theory

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The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation

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Dimer models and integrable systems

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More on the exact solution of the \(O(n)\) model on a random lattice and an investigation of the case \(|n|>2\)

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A holomorphic and background independent partition function for matrix models and topological strings

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Invariants of algebraic curves and topological expansion

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Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture

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Discrete Heisenberg-Weyl group and modular group

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QUANTUM DILOGARITHM

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On the remodeling conjecture for toric Calabi-Yau 3-orbifolds

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Lie groups, cluster variables and integrable systems

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Exact quantization conditions for cluster integrable systems

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Summing up all genus free energy of ABJM matrix model

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Evaluation of state integrals at rational points

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\(c=1\) string as the topological theory of the conifold

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Dimers and cluster integrable systems

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On the gauge theory/geometry correspondence

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Topological gravity as large \(N\) topological gauge theory

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Localization of virtual classes

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Spectral determinants and quantum theta functions

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BPS relations from spectral problems and blowup equations

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Topological strings from quantum mechanics

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Resumming the string perturbation series

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Exact solutions to quantum spectral curves by topological string theory

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Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial

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Lectures on knot homology and quantum curves

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Spectral zeta function and non-perturbative effects in ABJM Fermi-gas

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Exact quantization conditions for the relativistic Toda lattice

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Non-perturbative effects and the refined topological string

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Instanton effects in ABJM theory from Fermi gas approach

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Probing non-perturbative effects in M-theory

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Resummations and non-perturbative corrections

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Direct integration for general \(\Omega\) backgrounds

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Refined stable pair invariants for E-, M- and \([p,q]\)-strings

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Quantum geometry of del Pezzo surfaces in the Nekrasov-Shatashvili limit

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Topological strings and quantum spectral problems

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Instanton effects and quantum spectral curves

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Operators from mirror curves and the quantum dilogarithm

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Matrix models from operators and topological strings. II

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Geometric engineering of quantum field theories

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Entropy of near-extremal black \(p\)-branes

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Extended holomorphic anomaly in gauge theory

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Exact Chern-Simons / topological string duality

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Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves

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Lectures on non-perturbative effects in large N gauge theories, matrix models and strings

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ABJM theory as a Fermi gas

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Matrix models from operators and topological strings

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Exact eigenfunctions and the open topological string

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Nekrasov functions and exact Bohr-Sommerfeld integrals

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CLOSED SUB-MONODROMY PROBLEMS, LOCAL MIRROR SYMMETRY AND BRANES ON ORBIFOLDS

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Seiberg-Witten prepotential from instanton counting

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Membranes and sheaves

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Quantization of Integrable Systems and Four Dimensional Gauge Theories

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Quantum curves and topological recursion

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TBA-like integral equations from quantized mirror curves

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Curve counting via stable pairs in the derived category

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Exact quantization conditions, toric Calabi-Yau and non-perturbative topological string

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Spectral functions, special functions and the Selberg zeta function

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Exact resolution method for general 1D polynomial Schrödinger equation

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Multi-instantons and exact results. I: conjectures, WKB expansions, and instanton interactions

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Identifiers

zbMATH Open document ID

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10.1090/pspum/098/01722

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5136615

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