Finite quotients detect taut polynomials of fibered faces for hyperbolic 3-manifolds with fully-punctured monodromy via a framework for profinite invariance of twisted multivariable Alexander polynomials; some one-cusped examples are shown to be profinitely rigid.
Arithmetic Chern-Simons Theory I
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper, we apply ideas of Dijkgraaf and Witten on 2+1 dimensional topological quantum field theory to arithmetic curves, that is, the spectra of rings of integers in algebraic number fields. In the first three sections, we define classical Chern-Simons functionals on spaces of Galois representations. In the highly speculative section 5, we consider the far-fetched possibility of using Chern-Simons theory to construct L-functions.
fields
math.GT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups
Finite quotients detect taut polynomials of fibered faces for hyperbolic 3-manifolds with fully-punctured monodromy via a framework for profinite invariance of twisted multivariable Alexander polynomials; some one-cusped examples are shown to be profinitely rigid.