The first-order spectral flow of the odd signature operator on a manifold with boundary

DOI10.1016/S0166-8641(00)00092-4zbMath0996.58010OpenAlexW2092541447MaRDI QIDQ5948943

Paul A. Kirk, Eric P. Klassen

Publication date: 28 October 2002

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(00)00092-4

zbMATH Keywords

manifold with boundaryspectral flowflat connectionsignature operator

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14) Spectral theory; eigenvalue problems on manifolds (58C40) Products and intersections in homology and cohomology (55N45)

Related Items

A local analytic splitting of the holonomy map on flat connections, On the rho invariant for manifolds with boundary, Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants)

Cites Work

• Casson's invariant and gauge theory
• Quantum field theory and the Jones polynomial
• Continuity and analyticity of families of self-adjoint Dirac operators on a manifold with boundary
• Floer homology and splittings of manifolds
• Massey operations in Lie superalgebras and deformations of complexly analytic algebras
• A local analytic splitting of the holonomy map on flat connections
• Splitting the spectral flow and the Alexander matrix
• Computing spectral flow via cup products
• Flat connections, the Alexander invariant, and Casson's invariant
• A general splitting formula for the spectral flow. With an appendix by K. P. Wojciechowski
• Gauge theoretic invariants of Dehn surgeries on knots
• The \(\text{SU}(3)\) Casson invariant for integral homology \(3\)-spheres
• An instanton-invariant for 3-manifolds
• On the gluing problem for the \(\eta\)-invariant
• Singularities of the analytic torsion
• On the \(\eta\)-invariant of generalized Atiyah-Patodi-Singer boundary value problems
• Spectral asymmetry and Riemannian geometry. II
• The spectral flow of the odd signature operator and higher Massey products
• Self-adjoint elliptic operators and manifold decompositions part I: Low Eigenmodes and stretching
• Analytic deformations of the spectrum of a family of Dirac operators on an odd-dimensional manifold with boundary
• Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item