Hollmann, Ko rner, and Litsyn used generalized Steiner systems to prove that it is impossible to partition an n-cube into k Hamming spheres if 2<k<n+2. Furthermore, if k=n+2, they showed the only partition of the n-cube consists of a single sphere of radius n&2 and n+1 spheres of radius 0. We give a
A Geometric Proof of the Fintushel–Stern Formula
✍ Scribed by Olivier Collin; Nikolai Saveliev
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 141 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
✦ Synopsis
The Fintushel Stern formula asserts that the Casson invariant of a Brieskorn homology sphere 7( p, q, r) equals 1Â8 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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