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.
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