Mathematical Research Letters
Volume 4 (1997)
Homology spheres with the same finite type invariants of bounded orders
Pages: 341 – 347
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 $\leq n$.