A geometric proof of the Fintushel-Stern formula1

Olivier Collin, Nikolai Saveliev

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)304-314
Number of pages11
JournalAdvances in Mathematics
Volume147
Issue number2
StatePublished - Nov 10 1999
Externally publishedYes

Fingerprint

Geometric proof
Casson Invariant
Equivariant
Signature
Milnor Fiber
Homology Spheres
Computational Methods

Keywords

  • Casson invariant
  • Knot signatures
  • Milnor fiber

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A geometric proof of the Fintushel-Stern formula1 . / Collin, Olivier; Saveliev, Nikolai.

In: Advances in Mathematics, Vol. 147, No. 2, 10.11.1999, p. 304-314.

Research output: Contribution to journalArticle

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