Integral Invariants of 3-Manifolds. II

Abstract

This note is a sequel to our earlier paper of the same title [dg-ga/9710001] and describes invariants of rational homology 3-spheres associated to acyclic orthogonal local systems. Our work is in the spirit of the Axelrod-Singer papers, generalizes some of their results, and furnishes a new setting for the purely topological implications of their work.

12 pages, AMS-LaTeX, to appear in J. Diff. Geom

References in corpus (1)

• Integral Invariants of 3-Manifolds. II

Cited by in corpus (57)

• Perturbative quantum gauge theories on manifolds with boundary
• Integral Invariants of 3-Manifolds. II
• Anomaly polynomial of E-string theories
• Classical BV theories on manifolds with boundary
• F-theory and AdS_3/CFT_2
• Discrete and higher-form symmetries in SCFTs from wrapped M5-branes
• Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops
• Remarks on Chern-Simons invariants
• Perturbative 3-manifold invariants by cut-and-paste topology
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Configuration spaces and Vassiliev classes in any dimension
• Anomaly of (2,0) Theories
• Lectures on black holes and the AdS_3 / CFT_2 correspondence
• Anomaly Inflow for M5-branes on Punctured Riemann Surfaces
• Generating Charge from Diffeomorphisms
• Anomaly cancellation in M-theory: a critical review
• The Poisson sigma model on closed surfaces
• Anomaly free effective action for the elementary M5-brane
• Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains
• Twisted Cohomotopy implies M5-brane anomaly cancellation
• M5-branes Probing Flux Backgrounds
• On the Kontsevich-Kuperberg-Thurston construction of a configuration-space invariant for rational homology 3-spheres
• Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
• Fivebrane Gravitational Anomalies
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• Lectures on quantization of gauge systems
• The Universal Perturbative Quantum 3-manifold Invariant, Rozansky-Witten Invariants, and the Generalized Casson Invariant
• Surgery formulae for finite type invariants of rational homology 3--spheres
• Graph cohomology classes in the Batalin-Vilkovisky formalism
• Semiclassical quantization of classical field theories
• On the cube of the equivariant linking pairing for knots and 3-manifolds of rank one
• Chern-kernels and anomaly cancellation in M-theory
• Constrained systems, generalized Hamilton-Jacobi actions, and quantization
• BV quantization of the Rozansky-Witten model
• Weyl n-algebras
• On Globalized Traces for the Poisson Sigma Model
• Superconformal Field Theory In Six Dimensions And Supertwistor
• Theta-graph and diffeomorphisms of some 4-manifolds
• M-theory compactifications, G_2-manifolds and anomalies
• Beads: From Lie algebras to Lie groups
• Master Equation and Perturbative Chern-Simons theory
• Rank $Q$ E-String on Spheres with Flux
• Configuration Spaces of Manifolds with Boundary
• Finite dimensional approximations in geometry
• Knot invariants derived from the equivariant linking pairing
• Manifoldic homology and Chern-Simons formalism
• 4-Manifold Topology, Donaldson-Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism
• Configuration space integral for long n-knots, the Alexander polynomial and knot space cohomology
• From sl(2) Kirby weight systems to the asymptotic 3-manifold invariant
• Lecture Notes on Chern-Simons Perturbation Theory
• Theta Invariants of lens spaces via the BV-BFV formalism
• A holography theory of Poisson sigma model and deformation quantization
• On Kontsevich's characteristic classes for smooth 5- and 7-dimensional homology sphere bundles
• Finite type invariants of nullhomologous knots in 3-manifolds fibered over $S^1$ by counting graphs
• Addendum to: Some exotic nontrivial elements of the rational homotopy groups of $\mathrm{Diff}(S^4)$ (homological interpretation)
• On generalized configuration space and its homotopy groups
• A survey of Bott-Taubes integration