### Abstract

The Fintushel-Stern formula asserts that the Casson invariant of a Brieskorn homology sphere Σ(p, q, r) equals 1/8 the signature of its Milnor fiber. We give a geometric proof of this formula, as opposite to computational methods used in the original proof. The formula is also refined to relate equivariant Casson invariants to equivariant signatures.

Original language | English (US) |
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Pages (from-to) | 304-314 |

Number of pages | 11 |

Journal | Advances in Mathematics |

Volume | 147 |

Issue number | 2 |

DOIs | |

State | Published - Nov 10 1999 |

Externally published | Yes |

### Keywords

- Casson invariant
- Knot signatures
- Milnor fiber

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Collin, O., & Saveliev, N. (1999). A geometric proof of the Fintushel-Stern formula

^{1}.*Advances in Mathematics*,*147*(2), 304-314. https://doi.org/10.1006/aima.1999.1842