Whitney towers and the Kontsevich integral

Details Whitney towers and the Kontsevich integral Whitney towers and the Kontsevich integral

2004-01-30

arxiv.org/abs/math/0401441v2

Geom. Topol. Monogr. 7 (2004) 101-134

Mathematics

Geometric Topology

Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper4.abs.html

Scientific paper

We continue to develop an obstruction theory for embedding 2-spheres into 4-manifolds in terms of Whitney towers. The proposed intersection invariants take values in certain graded abelian groups generated by labelled trivalent trees, and with relations well known from the 3-dimensional theory of finite type invariants. Surprisingly, the same exact relations arise in 4 dimensions, for example the Jacobi (or IHX) relation comes in our context from the freedom of choosing Whitney arcs. We use the finite type theory to show that our invariants agree with the (leading term of the tree part of the) Kontsevich integral in the case where the 4-manifold is obtained from the 4-ball by attaching handles along a link in the 3-sphere.

Affiliated with

Also associated with

No associations

Rating

Whitney towers and the Kontsevich integral does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Whitney towers and the Kontsevich integral, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Whitney towers and the Kontsevich integral will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-628958