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When are Brieskorn Manifolds Homeomorphic?
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Apr
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Apr
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comment |
When are Brieskorn Manifolds Homeomorphic?
By the way, thank you for the detailed answer! |
Apr
9 |
comment |
When are Brieskorn Manifolds Homeomorphic?
where $g = \frac{1}{2}(\frac{d}{\tau} - l) + 1$ Thanks for catching my sign error! |
Apr
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revised |
When are Brieskorn Manifolds Homeomorphic?
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Apr
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comment |
When are Brieskorn Manifolds Homeomorphic?
According to Neumann and Raymond (section 1 in "Seifert Manifolds, Plumbing...", $g$ is the genus of Seifert surface $\Sigma(a,b,c)/S^{1}$. |
Apr
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revised |
When are Brieskorn Manifolds Homeomorphic?
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Apr
8 |
revised |
When are Brieskorn Manifolds Homeomorphic?
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Apr
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comment |
When are Brieskorn Manifolds Homeomorphic?
Hi Misha, thanks for the answer. Example 2 after Theorem 7.3 states that Σ(2,9,18) and Σ(3,5,15) are diffeomorphic. Doesn't this imply a homeomorphism since they are $3$-manifolds as smooth $S^1$-bundles with equal chern number over Riemann surfaces of the same Euler characteristic (and genus)? Doesn't this refute your comment about the triples necessarily being equal? |
Apr
7 |
comment |
When are Brieskorn Manifolds Homeomorphic?
Hi Liviu, yes, I just thumbed through "Singularities and Topology of Hypersurfaces". |
Apr
7 |
comment |
When are Brieskorn Manifolds Homeomorphic?
Hi Misha, yes, I've read the paper. As far as I can tell it doesn't answer my questions. |
Apr
7 |
asked | When are Brieskorn Manifolds Homeomorphic? |
Apr
7 |
accepted | Topology in Arithmetic |
Feb
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revised |
Topology in Arithmetic
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