TY - JOUR
T1 - Gauss-Manin system and the virtual structure constants
AU - Jinzenji, Masao
N1 - Funding Information:
case [5]. He expects that the result in [5] will give him an guideline for explicit evaluation of Gd−mN;k;d(n; σm). In this sense, he also thanks the referee of this article. Research of the author is partially supported by the grant of Japan Ministry of Education, Culture, Science and Technology.
PY - 2002/7
Y1 - 2002/7
N2 - In this paper, we discuss some applications of Givental's differential equations to enumerative problems on rational curves in projective hypersurfaces. Using this method, we prove some of the conjectures on the structure constants of quantum cohomology of projective hypersurfaces, proposed in our previous article. Moreover, we clarify the correspondence between the virtual structure constants and Givental's differential equations when the projective hypersurface is Calabi-Yau or general type.
AB - In this paper, we discuss some applications of Givental's differential equations to enumerative problems on rational curves in projective hypersurfaces. Using this method, we prove some of the conjectures on the structure constants of quantum cohomology of projective hypersurfaces, proposed in our previous article. Moreover, we clarify the correspondence between the virtual structure constants and Givental's differential equations when the projective hypersurface is Calabi-Yau or general type.
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U2 - 10.1142/S0129167X02001368
DO - 10.1142/S0129167X02001368
M3 - Article
AN - SCOPUS:0036638529
SN - 0129-167X
VL - 13
SP - 445
EP - 477
JO - International Journal of Mathematics
JF - International Journal of Mathematics
IS - 5
ER -