A local analytic splitting of the holonomy map on flat connections

DOI10.1007/BF01459778zbMath0797.53027MaRDI QIDQ1327100

V. Pereyra

Publication date: 11 July 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165204

zbMATH Keywords

fundamental groupspectral flowholonomy mapChern-Simons invariantsAtiyah-Patodi-Singer \(\rho_ \alpha\) invariants

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (9)

On the rho invariant for manifolds with boundary ⋮ Smoothing maps into algebraic sets and spaces of flat connections ⋮ Gauge theoretic invariants of Dehn surgeries on knots ⋮ The first-order spectral flow of the odd signature operator on a manifold with boundary ⋮ Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants) ⋮ Yang-Mills theory over surfaces and the Atiyah-Segal theorem ⋮ The stable moduli space of flat connections over a surface ⋮ Pontrjagin forms, Chern Simons classes, Codazzi transformations, and affine hypersurfaces ⋮ A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of \(SU(2)\) connections

Cites Work

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• Some comments on Chern-Simons gauge theory
• Link invariants via eta invariant
• Computing spectral flow via cup products
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• Spectral asymmetry and Riemannian geometry. III
• Derivatives and Fréchet differentials
• The deformation theory of representations of fundamental groups of compact Kähler manifolds
• The first-order spectral flow of the odd signature operator on a manifold with boundary

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