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

被引：0
|
作者：
Bar-Natan D. [1 ]
Garoufalidis S. [2 ,3 ]
Rozansky L. [4 ,5 ]
Thurston D.P. [6 ,7 ]
机构：
[1] Hebrew University, Institute of Mathematics, Giv'at-Ram
[2] Brandeis University, Department of Mathematics, Waltham
[3] School of Mathematics, Georgia Institute of Technology, Atlanta
[4] University of Illinois at Chicago, Department of Mathematics Statistics and Computer Science, Chicago
[5] UNC-CH, Department of Mathematics, CB 3250 Phillips Hall, Chapel Hill
[6] University of California at Berkeley, Department of Mathematics, Berkeley
[7] Harvard University, Department of Mathematics, Cambridge
来源：
Selecta Mathematica | 2002年 / 8卷 / 3期
关键词：
3-manifolds; Finite type invariants; Gaussian integration; Holonomy; Kirby moves;
D O I：
10.1007/s00029-002-8109-z
中图分类号：
学科分类号：
摘要：
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. © Birkhäuser Verlag, Basel, 2002.
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页码：341 / 371
页数：30
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