Representation variety for the rank one affine group

DOI10.1007/978-3-030-84721-0_18zbMath1496.14048arXiv2005.01841OpenAlexW3021486281MaRDI QIDQ2080614

Ángel González-Prieto, Vicente Muñoz, Marina Logares

Publication date: 9 October 2022

Full work available at URL: https://arxiv.org/abs/2005.01841

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Topological field theories in quantum mechanics (81T45) Algebraic moduli problems, moduli of vector bundles (14D20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (1)

Virtual classes of representation varieties of upper triangular matrices via topological quantum field theories

Uses Software

• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hodge polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties for curves of small genus
• E-polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties of complex curves of genus 3
• Topological quantum field theories
• Varieties of group representations and splittings of 3-manifolds
• On the \(E\)-polynomials of a family of \({\mathrm {Sl}}_n\)-character varieties
• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• Topological quantum field theory
• Flat G-bundles with canonical metrics
• Higgs bundles and local systems
• Lectures on introduction to moduli problems and orbit spaces
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Mirror symmetry, Langlands duality, and the Hitchin system
• Varieties of characters
• Moduli of representations of the fundamental group of a smooth projective variety. II
• A new proof of a theorem of Narasimhan and Seshadri
• Mirror symmetry is \(T\)-duality
• Singularities of free group character varieties
• Arithmetic harmonic analysis on character and quiver varieties. II
• A lax monoidal topological quantum field theory for representation varieties
• Invariants of a group in an affine ring
• Stable and unitary vector bundles on a compact Riemann surface
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• E-Polynomials of the SL(2, ℂ)-Character Varieties of Surface Groups
• The class of the affine line is a zero divisor in the Grothendieck ring
• Topological Quantum Field Theories from Compact Lie Groups
• On the Classification of Topological Field Theories
• Varieties of representations of finitely generated groups
• The Self-Duality Equations on a Riemann Surface
• Arithmetic of singular character varieties and their E‐polynomials
• Mixed Hodge Structures

This page was built for publication: Representation variety for the rank one affine group