Resolvent, heat kernel, and torsion under degeneration to fibered cusps
DOI10.1090/memo/1314zbMath1476.58001arXiv1410.8406OpenAlexW2500641165MaRDI QIDQ4995488
David A. Sher, Frédéric Rochon, Pierre Albin
Publication date: 24 June 2021
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.8406
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Determinants and determinant bundles, analytic torsion (58J52) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Homology with local coefficients, equivariant cohomology (55N25) Intersection homology and cohomology in algebraic topology (55N33)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic torsion and \(L^2\)-torsion of compact locally symmetric manifolds
- A gluing formula for the analytic torsion on singular spaces
- Analytic torsion on manifolds with edges
- The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume
- Extending \({\bar \partial}\) to singular Riemann surfaces
- The analytic torsion of a cone over an odd dimensional manifold
- Twisted cohomology for hyperbolic three manifolds
- Hodge cohomology of gravitational instantons
- Torsion homology growth and cycle complexity of arithmetic manifolds
- Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps
- Weighted Hodge cohomology of iterated fibred cusp metrics
- The analytic torsion of a cone over a sphere
- Renormalizing curvature integrals on Poincaré-Einstein manifolds
- Analytic torsion of a bounded generalized cone
- Intersection R-torsion and analytic torsion for pseudomanifolds
- Analytic torsion and closed geodesics on hyperbolic manifolds
- \(\eta\)-invariants, the adiabatic approximation and conical singularities
- Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces
- Manifolds with cusps of rank one. Spectral theory and \(L^ 2\)-index theorem
- Isometry transformations of hyperbolic 3-manifolds
- Intersection homology theory
- Resolvent of the Laplacian on strictly pseudoconvex domains
- Analytic torsion and R-torsion of Riemannian manifolds
- Analytic torsion and the heat equation
- Analytic surgery and analytic torsion
- Conic degeneration of the Gauss-Bonnet operator
- Pseudodifferential operators on manifolds with fibred boundaries.
- Analytic torsion and R-torsion of Witt representations on manifolds with cusps
- Analytic torsion of complete hyperbolic manifolds of finite volume
- L//2 cohomology of warped products and arithmetic groups
- Analytic surgery and the eta invariant
- Analytic surgery and the accumulation of eigenvalues
- The eta invariant and families of pseudodifferential operators
- On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
- The Novikov conjecture on Cheeger spaces
- On the growth of torsion in the cohomology of arithmetic groups
- Asymptotics of analytic torsion for hyperbolic three-manifolds
- Compactness of relatively isospectral sets of surfaces via conformal surgeries
- Conic degeneration and the determinant of the Laplacian
- Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups
- Weyl laws on open manifolds
- Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps
- Selberg zeta functions on odd-dimensional hyperbolic manifolds of finite volume
- R-torsion and the Laplacian on Riemannian manifolds
- Ricci Flow and the Determinant of the Laplacian on Non-Compact Surfaces
- SOME INDEX FORMULAE ON THE MODULI SPACE OF STABLE PARABOLIC VECTOR BUNDLES
- Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds
- Adiabatic Limit, Heat Kernel and Analytic Torsion
- The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds
- ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS
- A Survey of Twisted Alexander Polynomials
- Low Energy Resolvent for the Hodge Laplacian: Applications to Riesz Transform, Sobolev Estimates, and Analytic Torsion
- Elliptic theory of differential edge operators I
- Kernel functions, analytic torsion, and moduli spaces
- Topological Invariance of Whitehead Torsion
- Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion
- Twisted Alexander Polynomials of Hyperbolic Knots
- The asymptotic growth of torsion homology for arithmetic groups
- On the Asymptotics of the Ray–Singer Analytic Torsion for Compact Hyperbolic Manifolds
- A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS
- A torsion Jacquet-Langlands correspondence
- Whitehead torsion
- Über die Torsion einer Überdeckung.
- Pseudodifferential operators on manifolds with fibred corners