Finite type invariants of integral homology 3-spheres: A survey

Details Finite type invariants of integral homology 3-spheres: A survey Finite type invariants of integral homology 3-spheres: A survey

1995-10-03

arxiv.org/abs/q-alg/9510003v2

Mathematics

Quantum Algebra

27 pages, amslatex. A new section was added surveying recent developments of the subject. To appear in the proceedings of Wars

Scientific paper

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.

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