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bio website user02138.myopenid.com
location Cambridge, MA 02138
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visits member for 4 years, 1 month
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My mathematical interests include Topological Quantum Field Theory, Algebraic Topology, Number Theory and Combinatorics. Litterarum radices amarae, fructus dulces. (Bitter are the roots of study, but how sweet their fruit.) — Cato

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revised When are Brieskorn Manifolds Homeomorphic?
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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!
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revised When are Brieskorn Manifolds Homeomorphic?
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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 $\Sigma(a,b,c)/S^{1}$.
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revised When are Brieskorn Manifolds Homeomorphic?
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revised When are Brieskorn Manifolds Homeomorphic?
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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?
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comment When are Brieskorn Manifolds Homeomorphic?
Hi Liviu, yes, I just thumbed through "Singularities and Topology of Hypersurfaces".
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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.
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asked When are Brieskorn Manifolds Homeomorphic?
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accepted Topology in Arithmetic
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revised Topology in Arithmetic
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