Stationary Gromov–Witten Invariants of Projective Spaces  

作　　者：Paul NORBURY 

机构地区：[1]School of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia

出　　处：《Acta Mathematica Sinica,English Series》2017年第9期1163-1183,共21页数学学报（英文版）

基　　金：Supported by Australian Research Council(Grant No.DP1094328)

摘　　要：We represent stationary descendant Cromov-Witten invariants of projective space, up to explicit combinatorial factors, by polynomials. One application gives the asymptotic behaviour of the large degree behaviour of stationary descendant Gromov-Witten invariants in terms of intersection numbers over the moduli space of curves. We also show that primary Gromov-Witten invariants are ＂virtual＂ stationary descendants and hence the string and divisor equations can be understood purely in terms of stationary invariants.We represent stationary descendant Cromov-Witten invariants of projective space, up to explicit combinatorial factors, by polynomials. One application gives the asymptotic behaviour of the large degree behaviour of stationary descendant Gromov-Witten invariants in terms of intersection numbers over the moduli space of curves. We also show that primary Gromov-Witten invariants are ＂virtual＂ stationary descendants and hence the string and divisor equations can be understood purely in terms of stationary invariants.

关 键 词：Gromov-Witten RECURSION ASYMPTOTIC 

分 类 号：O185[理学—数学]