A171105 Multicomponent Gromov-Witten invariants for genus 0.

1, 1, 12, 675, 109781, 40047888

Offset

1,3

Comments

In this entry and in A171104, a multicomponent Gromov-Witten invariant is the number of (possibly reducible, hence "multicomponent") curves in CP^2 of degree n and genus g passing through given 3n-1+g points, so this is the Severi degree N(n, delta) where cogenus delta = (n-1)*(n-2)/2 - g, cf. A171108 and references therein. In particular, a(5) = A171116(5). - Andrey Zabolotskiy, May 04 2022

Links

Table of n, a(n) for n=1..6.

Florian Block, Computing node polynomials for plane curves, arXiv:1006.0218 [math.AG], 2010-2011; Math. Res. Lett. 18, (2011), no. 4, 621-643. See Appendix B.

Grigory Mikhalkin, Enumerative tropical algebraic geometry in R^2, arXiv:math/0312530 [math.AG], 2003-2004.

Crossrefs

Cf. A171104, A171108, A171116.

Cf. Gromov-Witten invariants, counting irreducible curves only: A171109, A171110, A171111.

Sequence in context: A177322 A060612 A203307 * A215686 A277691 A262383

Adjacent sequences: A171102 A171103 A171104 * A171106 A171107 A171108

Keyword

nonn,more

Author

N. J. A. Sloane, Sep 27 2010

Extensions

a(5)-a(6) added by Andrey Zabolotskiy, May 04 2022

Status

approved