Two proofs of a conjecture of Hori and Vafa
Bertram, Aaron ; Ciocan-Fontanine, Ionuţ ; Kim, Bumsig
Duke Math. J., Tome 126 (2005) no. 1, p. 101-136 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We give two proofs of a conjecture of Hori and Vafa which expresses the J-function—a generating function for 1-point descendant Gromov-Witten invariants—of a Grassmannian in terms of the J-function of a product of projective spaces. Similar relations are obtained for 2-point descendants and 3-point primary Gromov-Witten invariants. As an application, we prove Givental's R-conjecture, and hence the Virasoro conjecture, for Grassmannians.
Publié le : 2005-01-15
Classification:  14N35 14M15 
@article{1103136476,
     author = {Bertram, Aaron and Ciocan-Fontanine, Ionu\c t and Kim, Bumsig},
     title = {Two proofs of a conjecture of Hori and Vafa},
     journal = {Duke Math. J.},
     volume = {126},
     number = {1},
     year = {2005},
     pages = { 101-136},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1103136476}
}

Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Kim, Bumsig. Two proofs of a conjecture of Hori and Vafa. Duke Math. J., Tome 126 (2005) no. 1, pp.  101-136. http://gdmltest.u-ga.fr/item/1103136476/