A geometric proof of the Fintushel-Stern formula1

Olivier Collin; Nikolai Saveliev

A geometric proof of the Fintushel-Stern formula¹

Research output: Contribution to journal › Article

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)
Pages (from-to)	304-314
Number of pages	11
Journal	Advances in Mathematics
Volume	147
Issue number	2
State	Published - Nov 10 1999
Externally published	Yes

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

Collin, O., & Saveliev, N. (1999). A geometric proof of the Fintushel-Stern formula¹ Advances in Mathematics, 147(2), 304-314.

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 journal › Article

Collin, O & Saveliev, N 1999, 'A geometric proof of the Fintushel-Stern formula¹ ', Advances in Mathematics, vol. 147, no. 2, pp. 304-314.

Collin O, Saveliev N. A geometric proof of the Fintushel-Stern formula¹ Advances in Mathematics. 1999 Nov 10;147(2):304-314.

Collin, Olivier ; Saveliev, Nikolai. / A geometric proof of the Fintushel-Stern formula¹ In: Advances in Mathematics. 1999 ; Vol. 147, No. 2. pp. 304-314.

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