TY - JOUR
T1 - Two proofs of a conjecture of hori and VAFA
AU - Bertram, Aaron
AU - Ciocan-Fontanine, Ionut
AU - Kim, Bumsig
PY - 2005/1/15
Y1 - 2005/1/15
N2 - 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 A-conjecture, and hence the Virasoro conjecture, for Grassmannians.
AB - 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 A-conjecture, and hence the Virasoro conjecture, for Grassmannians.
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U2 - 10.1215/S0012-7094-04-12613-2
DO - 10.1215/S0012-7094-04-12613-2
M3 - Article
AN - SCOPUS:12744279893
SN - 0012-7094
VL - 126
SP - 101
EP - 136
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 1
ER -