Finite type invariants of integral homology 3-spheres: A survey
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
This is a survey on the current status of the study of finite type invariants of integral homology 3-spheres based on lectures given in the workshop on knot theory at Banach International Center of Mathematics, Warsaw, July 1995. As a new result, we show that the space of finite type invariants of integral homology 3-spheres is a graded polynomial algebra generated by invariants additive under the connected sum. We also discuss some open questions on this subject.
Keywords
Cite
@article{arxiv.q-alg/9510003,
title = {Finite type invariants of integral homology 3-spheres: A survey},
author = {Xiao-Song Lin},
journal= {arXiv preprint arXiv:q-alg/9510003},
year = {2008}
}
Comments
27 pages, amslatex. A new section was added surveying recent developments of the subject. To appear in the proceedings of Warsaw knot theory workshop, July-August 1995