Resumen de The Århus integral of rational homology 3-spheres II: Invariance and universality

D. Bar Natan, S. Garoufalidis, L. Rozansky, D.P. Thurston

• We continue the work started in [Å-I], and prove the invariance and universality in the class of finite type invariants of the object defined and motivated there, namely the Århus integral of rational homology 3-spheres. Our main tool in proving invariance is a translation scheme that translates statements in multi-variable calculus (Gaussian integration, integration by parts, etc.) to statements about diagrams. Using this scheme the straightforward “philosophical” calculus-level proofs of [Å-I] become straightforward honest diagram-level proofs here. The universality proof is standard and utilizes a simple “locality” property of the Kontsevich integral.