Reidemeister torsion, complex volume and the Zograf infinite product for hyperbolic 3-manifolds

DOI10.2140/gt.2019.23.3687zbMath1439.57040OpenAlexW3001615226WikidataQ126395147 ScholiaQ126395147MaRDI QIDQ2285046

Jinsung Park

Publication date: 16 January 2020

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/gt.2019.23.3687

zbMATH Keywords

Reidemeister torsionhyperbolic 3-manifoldcomplex volume

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Hyperbolic 3-manifolds (57K32)

Related Items

Ruelle zeta functions of hyperbolic manifolds and Reidemeister torsion ⋮ Magnetically charged \(\mathrm{AdS}_5\) black holes from class \(\mathcal{S}\) theories on hyperbolic 3-manifolds ⋮ Rotating black hole entropy from M5-branes ⋮ Precision microstate counting for the entropy of wrapped M5-branes ⋮ Higher-derivative supergravity, wrapped M5-branes, and theories of class \(\mathcal{R}\) ⋮ Black holes and large \(N\) complex saddles in 3D-3D correspondence

Cites Work

• Half-density volumes of representation spaces of some 3-manifolds and their application
• Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps
• The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps
• Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker's first limit formula
• The volume and Chern-Simons invariant of a representation
• Volumes of hyperbolic three-manifolds
• The \(\eta\)-invariant of hyperbolic 3-manifolds
• Closed geodesics and the \(\eta\)-invariant
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Bloch invariants of hyperbolic \(3\)-manifolds
• Tau function and Chern-Simons invariant
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• Selberg and Ruelle zeta functions for non-unitary twists
• Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds
• The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds
• A Selberg Trace Formula for Non-unitary Twists
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• On the Selberg trace formula in the case of compact quotient
• Analytic Torsion and R-Torsion for Unimodular Representations
• Whitehead torsion
• Complex‐valued analytic torsion for flat bundles and for holomorphic bundles with (1,1) connections
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item