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"Virtual" number of rational curves (or rather, stable maps) of degree n in P^3 which meet 2n+1 general lines and are Legendrian, i.e., are tangent to the standard contact distribution in P^3.
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%I #13 Aug 30 2021 01:48:10

%S 2,40,4160,1089024

%N "Virtual" number of rational curves (or rather, stable maps) of degree n in P^3 which meet 2n+1 general lines and are Legendrian, i.e., are tangent to the standard contact distribution in P^3.

%H Amorim, É., and Vainsencher, I., <a href="https://arxiv.org/abs/1907.03973">Contact Curves In Projective Space</a>, arXiv:1907.03973 [math.AG], Jul 2019. See Section 3.1.

%H Giosuè Muratore and Csaba Schneider, <a href="https://arxiv.org/abs/2105.11183">Effective computations of the Atiyah-Bott formula</a>, arXiv:2105.11183 [math.AG], 2021.

%K nonn,more

%O 1,1

%A _N. J. A. Sloane_, Oct 29 2019, following a suggestion from Israel Vainsencher.