Quantum cohomology of moduli spaces of genus zero stable curvesQuantum cohomology of moduli spaces of genus zero stable curves

被引:0
作者
Fontanari, Claudio [1 ]
机构
[1] Politecn Torino, Dipartimento Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy
关键词
Moduli spaces; Pointed rational curves; Quantum cohomology; Gromov-Witten invariants;
D O I
10.1007/s11587-007-0020-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the (small) quantum cohomology ring of the moduli spaces (M) over bar (0, n) of stable n-pointed curves of genus 0. In particular, we determine an explicit presentation in the case n = 5 and we outline a computational approach to the case n = 6.
引用
收藏
页码:277 / 284
页数:8
相关论文
共 14 条
[1]  
Batyrev VV, 2004, PROG MATH, V226, P85
[2]   On the quantum cohomology of some Fano threefolds and a conjecture of Dubrovin [J].
Ciolli, G .
INTERNATIONAL JOURNAL OF MATHEMATICS, 2005, 16 (08) :823-839
[3]  
Fontanari C., 2005, REND SEM MAT U POLIT, V63, P9
[4]  
Fulton W., 1997, ALGEBRAIC GEOMETRY S, V62, P45
[5]  
Gathmann A, 2001, J ALGEBRAIC GEOM, V10, P399
[6]  
Gottsche L, 1998, J DIFFER GEOM, V48, P61
[7]  
Hartshorne R., 1977, GRADUATE TEXTS MATH, V52
[8]  
HASSETT B., 2002, CONT MATH, V314, P83, DOI DOI 10.1090/CONM/314/05424
[9]   Gromov-Witten invariants of blow-ups along points and curves [J].
Hu, J .
MATHEMATISCHE ZEITSCHRIFT, 2000, 233 (04) :709-739