On character varieties of singular manifolds
DOI10.1007/s40687-023-00394-yzbMath1528.57025arXiv2011.04603OpenAlexW3101408279MaRDI QIDQ6173687
Marina Logares, Ángel González-Prieto
Publication date: 21 July 2023
Published in: Research in the Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.04603
TQFTcharacter varietyvirtual classGrothendieck ringrepresentation varietyparabolic structurenodal singularityconic degenerationholonomies of Jordan and semi-simple typelax monoidal symmetric functornodefoldpseudo-quotient
Representation theory for linear algebraic groups (20G05) Topological quantum field theories (aspects of differential topology) (57R56) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) (K)-theory of schemes (19E08) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)
Cites Work
- Unnamed Item
- Geometry of the \(\mathrm{SL}(3,\mathbb{C})\)-character variety of torus knots
- Hodge polynomials of \(\mathrm{SL}(2,\mathbb{C})\)-character varieties for curves of small genus
- Topological quantum field theories
- Arithmetic harmonic analysis on character and quiver varieties
- The \(SL(2, \mathbb C)\)-character varieties of torus knots
- 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.
- Flat G-bundles with canonical metrics
- Higgs bundles and local systems
- Complements of codimension-two submanifolds
- Moduli of representations of the fundamental group of a smooth projective variety. I
- Mirror symmetry, Langlands duality, and the Hitchin system
- Vertex operators and character varieties
- BPS states, torus links and wild character varieties
- Moduli of representations of the fundamental group of a smooth projective variety. II
- Connecting moduli spaces of Calabi-Yau threefolds
- Representations of the fundamental group and vector bundles
- Arithmetic harmonic analysis on character and quiver varieties. II
- New \(G_2\)-conifolds in \(M\)-theory and their field theory interpretation
- Hodge-Deligne polynomials of character varieties of free abelian groups
- Virtual classes of representation varieties of upper triangular matrices via topological quantum field theories
- Virtual classes of parabolic \(\operatorname{SL}_2(\mathbb{C})\)-character varieties
- A lax monoidal topological quantum field theory for representation varieties
- Motivic zeta functions on \(\mathbb{Q}\)-Gorenstein varieties
- Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers
- Serre polynomials of \(\mathrm{SL}_n\)- and \(\mathrm{PGL}_n\)-character varieties of free groups
- The \(SL(3,\mathbb{C})\)-character variety of the figure eight knot
- Geometric transitions
- Théorie de Hodge. II. (Hodge theory. II)
- Théorie de Hodge. III
- On Higgs bundles on nodal curves
- Hitchin pairs on an integral curve
- Representations of the fundamental group and Higgs bundles on singular integral curves
- Motive of the \(\mathrm{SL}_4\)-character variety of torus knots
- Stringy Hodge numbers of varieties with Gorenstein canonical singularities
- E-Polynomials of the SL(2, ℂ)-Character Varieties of Surface Groups
- Conifolds and geometric transitions
- The class of the affine line is a zero divisor in the Grothendieck ring
- Solutions of the Motivic ADHM Recursion Formula
- Harmonic Bundles on Noncompact Curves
- The Self-Duality Equations on a Riemann Surface
- Through the Looking Glass
- Birational Calabi--Yau n-folds have equal Betti numbers
- An introduction to 𝑝-adic and motivic integration, zeta functions and invariants of singularities
- Twisted spectral correspondence and torus knots
- Hodge polynomials of the SL(2, ℂ)-character variety of an elliptic curve with two marked points
- Groupoids and Van Kampen's Theorem
- On the gauge theory/geometry correspondence
- Gravity duals of fractional branes and logarithmic RG flow.
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