The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary
From MaRDI portal
Publication:391282
DOI10.1016/j.geomphys.2013.10.015zbMath1286.58025arXiv1208.1566OpenAlexW2963308291MaRDI QIDQ391282
Rung-Tzung Huang, Yoonweon Lee
Publication date: 10 January 2014
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.1566
eta-invariantodd signature operatorrefined analytic torsionwell-posed boundary conditionzeta-determinant
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52)
Related Items
Refined analytic torsion as analytic function on the representation variety and applications, The refined analytic torsion and a well-posed boundary condition for the odd signature operator, The gluing formula of the zeta-determinants of Dirac Laplacians for certain boundary conditions
Cites Work
- The gluing formula of the refined analytic torsion for an acyclic Hermitian connection
- Refined analytic torsion as an element of the determinant line
- Refined analytic torsion on manifolds with boundary
- Hilbert complexes
- Mayer-Vietoris type formula for determinants of elliptic differential operators
- Analytic torsion and R-torsion of Riemannian manifolds
- Eta invariants and manifolds with boundary
- The refined analytic torsion and a well-posed boundary condition for the odd signature operator
- Zero sets of solutions to semilinear elliptic systems of first order
- The Maslov index, the spectral flow, and decompositions of manifolds
- On the \(\eta\)-invariant of generalized Atiyah-Patodi-Singer boundary value problems
- The zeta-determinants of Dirac Laplacians with boundary conditions on the smooth, self-adjoint Grassmannian
- Refined analytic torsion
- R-torsion and the Laplacian on Riemannian manifolds
- EULER STRUCTURES, NONSINGULAR VECTOR FIELDS, AND TORSIONS OF REIDEMEISTER TYPE
- Reidemeister torsion in knot theory
- Unique continuation in geometry
- Spectral asymmetry and Riemannian Geometry. I
- Burghelea-Friedlander-Kappeler’s gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion
- The [eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary]
- Poincar\'e--Reidemeister metric, Euler structures, and torsion
- Unnamed Item
- Unnamed Item
- Unnamed Item