# Finite Type Invariants of w-Knotted Objects IV: Some Computations

@article{BarNatan2015FiniteTI, title={Finite Type Invariants of w-Knotted Objects IV: Some Computations}, author={Dror Bar-Natan}, journal={arXiv: Geometric Topology}, year={2015} }

In the previous three papers in this series, [WKO1]-[WKO3] (arXiv:1405.1956, arXiv:1405.1955, and to appear), Z. Dancso and I studied a certain theory of "homomorphic expansions" of "w-knotted objects", a certain class of knotted objects in 4-dimensional space. When all layers of interpretation are stripped off, what remains is a study of a certain number of equations written in a family of spaces $A^w$, closely related to degree-completed free Lie algebras and to degree-completed spaces of…

## 8 Citations

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