Mathematical Research Letters

Volume 4, Issue 3, May 1997 pp. 341-347.

Homology spheres with the same finite type invariants of bounded orders

Authors: Efstratia Kalfagianni
Author institution: Rutgers University

Summary: For every $n \in \Bbb N $, we give a direct geometric construction of integral homology spheres that cannot be distinguished by finite type invariants of orders $\leq n$. In particular we obtain $\Z$-homology spheres that are not homeomorphic to $S^3$ but cannot be distinguished from $S^3$ by finite type invariants of orders $\leq n$.

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