Mutation and the \(\eta\)-invariant

DOI10.4310/jdg/1214444091zbMath0689.57012OpenAlexW1599398466WikidataQ115182392 ScholiaQ115182392MaRDI QIDQ581885

Daniel Ruberman, Robert Meyerhoff

Publication date: 1990

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214444091

zbMATH Keywords

hyperbolic 3-manifold\(\eta\)-invariantChern-Simons- invariantcutting and reglueing along an embedded incompressible surfacesurface embedded in a 3-manifold

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Differential geometry of symmetric spaces (53C35)

Related Items (11)

Hyperbolic Invariants of Knots and Links ⋮ Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms. I ⋮ Explicit formulae for Chern-Simons invariants of the hyperbolic J(2n,-2m) knot orbifolds ⋮ On the volume and Chern–Simons invariant for 2-bridge knot orbifolds ⋮ Explicit formulae for Chern-Simons invariants of the twist-knot orbifolds and edge polynomials of twist knots ⋮ A note on the Chern-Simons invariant of hyperbolic 3-manifolds ⋮ Cutting and pasting and the \(\eta\)-invariant ⋮ Geometric invariants for 3-manifolds ⋮ Explicit formulae for Chern-Simons invariants of the hyperbolic orbifolds of the knot with Conway's notation \(C(2n,3)\) ⋮ Concordance and mutation ⋮ Infinitely many arithmetic hyperbolic rational homology 3–spheres that bound geometrically

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