Integral Invariants of 3-Manifolds
R. Bott, A. S. Cattaneo
TL;DR
This paper introduces a new invariant for rational homology 3-spheres using configuration space integrals, bridging the gap between existing invariants by Axelrod-Singer and Kontsevich.
Contribution
It presents a novel invariant of 3-manifolds formulated through configuration space integrals, connecting previous invariants in a new way.
Findings
Defines a new invariant for rational homology 3-spheres
Shows the invariant interpolates between Axelrod-Singer and Kontsevich invariants
Provides a framework for understanding 3-manifold invariants through configuration space integrals
Abstract
This note describes an invariant of rational homology 3-spheres in terms of configuration space integrals which in some sense lies between the invariants of Axelrod and Singer and those of Kontsevich.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Topological and Geometric Data Analysis