# Questions tagged [character-varieties]

moduli of representations (Betti moduli), moduli of Higgs bundles (Dolbeault moduli), moduli of connections (de Rham moduli space), moduli of principal bundles (Čech moduli space), moduli of polygons, moduli of geometric structures, spin networks, skein theory, A-polynomial, higher Teichmüller theory

**3**

**1**answer

### Is the irreducible locus of the character variety a principal bundle in Zariski topology?

**9**

**2**answers

### Orbit of an irreducible representation of a surface group under that action of the mapping class group

**1**

**1**answer

### Lie bracket on the complex valued functions of the space of representations of a Riemann surface

**9**

**3**answers

### SL(2, C)-representation of a knot

**10**

**1**answer

### A question about dimension of SL(2,C) character variety of knot group

**10**

**1**answer

### Moduli space of flat connections of Lie group over a 2-torus

**5**

**1**answer

### The ¨irreducible¨ representation variety of surface group

**3**

**1**answer

### Kernel of restriction for ring of functions on reductive groups

**2**

**1**answer

### Metric on moduli space of semistable principal G-bundles on curves

**6**

**1**answer

### Compactifications of SL(2)-character varieties of surfaces

**3**

**0**answers

### Question on Neumann-Zagier Symplectic matrix of an ideal triangulation of one cusped 3-manifold

**2**

**0**answers

### Non Seifert incompressible surfaces detected by ideal points

**9**

**1**answer

### Classification of geometric structures through character varieties

**8**

**2**answers

### Flat connections on 3-manifold with boundary

**31**

**4**answers

### Why do people study representations of 3-manifold groups into $SL(n,\mathbb{C})$?

**9**

**3**answers

### Moduli spaces of connections as representation spaces

**10**

**7**answers

### Reference on representations of knot groups

**12**

**1**answer

### Representation varieties of 3-manifold groups in $\mathrm{SL}(n,\mathbb{C})$

**6**

**0**answers

### Can the analytic arc of an irred. $\mathrm{SL}_2(\mathbb{C})$-character always be lifted to an analytic arc of an irred. representation?

**3**

**1**answer

### When is an irreducible $\mathrm{SL}_2(\mathbb{C})$ representation of a cusped hyperbolic 3-manifold scheme reduced or smooth?

**3**

**1**answer

### Representation variety vs. space of flat connections

**1**

**1**answer

### Algebraicness of trace field of finite volume hyperbolic 3-manifold and dimension of $\mathrm{SL}(2,\mathbb{C})$-character variety

**3**

**1**answer

### Relation between the Character variety of a knot $K\subset M$ and that of $M$

**15**

**1**answer

### Can the SL_2 character variety of a three-manifold be nonreduced?

**12**

**1**answer

### Rank two vector bundles on a curve of genus two

**9**

**1**answer

### Character varieties of finitely generated groups

**9**

**1**answer

### What is (explicitly) known about the SL(n,C) character varieties of 3-manifolds?

**11**

**2**answers

### Cohomology of $T^n/W$ for compact Lie groups

**15**

**0**answers

### Representations of quantum groups at roots of unity

**13**

**0**answers

### Generalization of Witten's computation of the volume of moduli space

**7**

**2**answers

### Deriving the Hilbert spaces for Chern-Simons TQFTs with complex gauge group

**3**

**1**answer

### Which bundles does the character variety parameterize?

**4**

**0**answers

### Is tensor product flat with respect to the Hitchin connection?

**4**

**1**answer

### How does one relate the monodromy of the KZ equations with the WRT representation of the braid group?

**4**

**0**answers

### Do real polarization and Kahler polarization of character varieties of closed surfaces give equivalent representations of the Mapping Class Group?

**3**

**1**answer

### How to interpret sections over the $\mathrm{SU}(2)$ character variety as sections over the $\mathrm{SL}(2,\mathbb{C})$ character variety?

**7**

**2**answers

### What is the state in the WRT TQFT associated to a handlebody?

**14**

**1**answer

### Is there an algebraic description of Yang-Mills measure?

**11**

**1**answer

### How nice are representation varieties of Fuchsian groups?

**14**

**1**answer

### Moduli space of semistable bundles

**11**

**3**answers

### Zariski tangent spaces to representation varieties

**3**

**2**answers