@isomorphisms

At XX:00 of her IAS talk _Mirror symmetry for the trefoil knot_, Emmy Moore uses the Koras-Russell 3-fold as an example of ______________________. Semon, as a symplectic topologist / Fukaya categorist, what ---if anything--- do you find interesting about this 3-fold? Do you think it's a good example of [what she sought to show]? Are there other good examples?


Meanwhile let's play in Macaulay2 with the Koras-Russell 3-fold.

Wikipedia defines it as $$a + a*a*b + c*c + d*d*d = 0$$. Let's mess around with this in Macaulay2.

[Eisenbud techniques ch 2 of Macaulay2 book]


WP doesn't define the Makar-Limanov invariant. Would you like to talk about it?


WP's article on the Koras-Russell 3-fold says it was introduced as an exotic variety (not isomorphic to affine A^3) in the exploration of the Linearisation Conjecture.



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@eigenstate