A geometric proof of the Fintushel-Stern formula1

Olivier Collin, Nikolai Saveliev

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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 languageEnglish (US)
Pages (from-to)304-314
Number of pages11
JournalAdvances in Mathematics
Issue number2
StatePublished - Nov 10 1999
Externally publishedYes


  • Casson invariant
  • Knot signatures
  • Milnor fiber

ASJC Scopus subject areas

  • Mathematics(all)


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