A328553 "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.

2, 40, 4160, 1089024

Offset

1,1

Links

Table of n, a(n) for n=1..4.

Amorim, É., and Vainsencher, I., Contact Curves In Projective Space, arXiv:1907.03973 [math.AG], Jul 2019. See Section 3.1.

Giosuè Muratore and Csaba Schneider, Effective computations of the Atiyah-Bott formula, arXiv:2105.11183 [math.AG], 2021.

Crossrefs

Sequence in context: A293950 A104134 A358160 * A162868 A059476 A306839

Adjacent sequences: A328550 A328551 A328552 * A328554 A328555 A328556

Keyword

nonn,more

Author

N. J. A. Sloane, Oct 29 2019, following a suggestion from Israel Vainsencher.

Status

approved