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

1995/10/03 by Xiao-Song Lin, Lin, Xiao-Song
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9510003

openalex publication_date 1995/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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