An index theorem for end-periodic operators
From MaRDI portal
Publication:2797475
DOI10.1112/S0010437X15007502zbMath1348.58012arXiv1105.0260OpenAlexW3100567221MaRDI QIDQ2797475
Daniel Ruberman, Nikolai Saveliev, Tomasz S. Mrowka
Publication date: 5 April 2016
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.0260
Heat equation (35K05) Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items
The relative eta invariant for a pair of Dirac-type operators on non-compact manifolds, A splitting theorem for the Seiberg-Witten invariant of a homology \(S^1\times S^3\), η-INVARIANT AND INDEX FOR OPERATORS ON THE REAL LINE PERIODIC AT INFINITY, Positive scalar curvature metrics via end-periodic manifolds, On the spectral sets of Inoue surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Deforming three-manifolds with positive scalar curvature
- Index theory of the de Rham complex on manifolds with periodic ends
- Seiberg-Witten equations, end-periodic Dirac operators, and a lift of Rohlin's invariant
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- The eta invariant and the K-theory of odd dimensional spherical space forms
- The Euler characteristic and finiteness obstruction of manifolds with periodic ends
- On the parabolic kernel of the Schrödinger operator
- Essential spectrum and heat kernel
- Local index theorem for families
- An index theorem on open manifolds. I. II
- Riemannian metrics of positive scalar curvature on compact manifolds with boundary
- The stable topology of self-dual moduli spaces
- On the structure of manifolds with positive scalar curvature
- The classification of simply connected manifolds of positive scalar curvature
- Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem
- Relative index theory
- There exist inequivalent knots with the same complement
- Some new four-manifolds
- Asymptotic expansions for the compact quotients of properly discontinuous group actions
- On the index of geometrical operators for Riemannian manifolds with boundary
- Locally conformal Kähler geometry
- Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants
- Gauge theory on asymptotically periodic 4-manifolds
- On surfaces of class VII\(_0\)
- Harmonic spinors
- Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold
- Monopoles and four-manifolds
- The eta invariant and metrics of positive scalar curvature
- Eta invariants of Dirac operators on circle bundles over Riemann surfaces and virtual dimensions of finite energy Seiberg-Witten moduli spaces
- Harmonic sections in sphere bundles, normal neighborhoods of reduction loci, and instanton moduli spaces on definite 4-manifolds
- Asymptotic spectral flow for Dirac operators
- The index of elliptic operators. III
- On the heat equation and the index theorem
- On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
- Spectral asymmetry and Riemannian Geometry. I
- Spectral asymmetry and Riemannian geometry. II
- Spectral asymmetry and Riemannian geometry. III
- Riesz transforms for $1\le p\le 2$
- Gluing and moduli for noncompact geometric problems
- Some Gradient Estimates on Covering Manifolds
- Moduli Spaces of Singular Yamabe Metrics
- Seiberg-Witten invariants for manifolds with $b_+=1$