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Jim Conant's user avatar
Jim Conant's user avatar
Jim Conant
  • Member for 14 years, 3 months
  • Last seen this week
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 Yearling
awarded
 Popular Question
revised
Intuition behind Alexander duality
Fixed typo pointed out by @JohnSullivan.
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Intuition behind Alexander duality
@JohnSullivan well-spotted after 14 years. Will edit.
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Examples of interesting false proofs
@RichardBirkett yes! "Mathematical fallacies, flaws, and flimflam" by Edward J. Barbeau. It is apparently out of print. cambridge.org/core/books/…
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Errata for Fulton's "Young tableaux"
If I ever write a book, I would be so happy to have someone read it this carefully.
awarded
 Yearling
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Amending flawed "proof" that homology groups are zero
Discrete morse theory is often useful to prove this kind of thing.
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On the aperiodic monotile
@SamHopkins I edited.
revised
On the aperiodic monotile
Addressed SamHopkins concerns.
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On the aperiodic monotile
@SamHopkins indeed, but do you really think I should ask them all separately? I don't want to spam up the place.
asked
On the aperiodic monotile
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Where can I create nice looking graphics for a paper?
Something I've done recently is to use the javascript library and web editor p5.js. It is optimized toward creating graphics and animations.
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Explicit parameterizations of complicated unlinks?
Thistlethwaite and Hoste's program Knotscape will turn a combinatorial description of any knot diagram (Dowker notation) into a planar picture, which can then be turned into a 3d parameterization a la Dlugie's comment. I don't remember if it can handle links.
awarded
 Popular Question
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Topology in non-mathematical literature
Maybe the Tolkien deity Ilúvatar used the exponential map and the straight road is just a lift to the tangent space.
revised
How many definitions are there of the Jones polynomial?
Fixed spelling of Hans Wenzl's last name.
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Poincaré duality
Yeah, I was just thinking that it wasn't a manifold of the appropriate kind, but should have thought further about it!
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Poincaré duality
Or even a sphere minus more than one point.
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Ways to prove that $n$-component Brunnian link is nontrivial
Milnor's $\mu$ invariants are among the easiest ways to show nontriviality of a given Brunnian link but you can also pick your favorite link invariant like the Jones Polynomial and try calculating that. For mu invariants, Cochran's derived link calculus is pretty efficient in practice.
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