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Jeffrey Rolland's user avatar
Jeffrey Rolland
  • Member for 8 years, 4 months
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 Scholar
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Outer automorphism group of Brieskorn homology sphere?
Perfect! Thanks so much!
accepted
Outer automorphism group of Brieskorn homology sphere?
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Outer automorphism group of Brieskorn homology sphere?
@DannyRubeman Thanks so much! If I may "go to your well" one more tome, do you have a reference for that?
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Outer automorphism group of Brieskorn homology sphere?
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Outer automorphism group of Brieskorn homology sphere?
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Outer automorphism group of Brieskorn homology sphere?
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 Autobiographer
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Aspherical manifold with superperfect fundamental group and non-trivial center?
Indeed, the book by Saveliev also explicitly includes the generator ℎ of the center as one of the generators of the fundamental group; thanks so much for the response
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Aspherical manifold with superperfect fundamental group and non-trivial center?
I got the book today, and it answered all my questions and more; I'll post an "answer" and my exciting MATLAB .m script to compute the Bézout coefficients corresponding to the relatively prime integers in the Brieskorn homology sphere tomorrow
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Aspherical manifold with superperfect fundamental group and non-trivial center?
I also need to know a product of generators representing a generator of the center; I can't edit the above
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Aspherical manifold with superperfect fundamental group and non-trivial center?
I was and am planning on collecting the above in an answer, but was waiting for the book smile.amazon.com/Invariants-Homology-3-Spheres-Nikolai-Savel‌​iev/… to come in at the library to make sure I have all I need for the presentation of the fundamental group and handlebody decomposition of the minimal Brieskorn homology sphere to meet my criteria; sorry if I dragged my feet posting this
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Aspherical manifold with superperfect fundamental group and non-trivial center?
[Edit removed during grace period]
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 Commentator
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 Yearling
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Aspherical manifold with superperfect fundamental group and non-trivial center?
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 Editor
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Aspherical manifold with superperfect fundamental group and non-trivial center?
@YCor Edited into OP
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Aspherical manifold with superperfect fundamental group and non-trivial center?
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Aspherical manifold with superperfect fundamental group and non-trivial center?
@DannyRuberman Wow, that's awesome, thank you! I'm actually going to take a fiber bundle with a torus as the base manifold and need the total space to be at least 6-dim'l at some point, so I could just use a 3-dim'l torus or a 2-dim'l torus and a higher-dim'l example of what you just suggested; it's kind-of "six of one, half a dozen of another" to me at this point. However, modulo the dimension of the manifold, this is exactly what I needed, so thank you
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