Topological Recursion Relations from Pixton Relations

被引：2
|
作者：
Lin, Yi Jie [1 ]
Zhou, Jian [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 04期
关键词：
Faber-Zagier relations; Pixton relations; topological recursion relations; Gromov-Witten invariants; GROMOV-WITTEN INVARIANTS; INTERSECTION THEORY; MODULI SPACES; CURVES; COHOMOLOGY;
D O I：
10.1007/s10114-016-6155-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose an algorithm to derive tautological relations from Pixton relations. We carry out this algorithm explicitly to derive some results in genus 0, 1, 2, 3 and analyze the possibility to generalize to higher genera. As an application, some results about reconstruction of Gromov-Witten invariants can be derived.
引用
收藏
页码：470 / 494
页数：25
相关论文
共 50 条
  • [41] BCFW recursion relations and string theory
    Clifford Cheung
    Donal O’Connell
    Brian Wecht
    [J]. Journal of High Energy Physics, 2010
  • [42] BCFW recursion relations and string theory
    Cheung, Clifford
    O'Connell, Donal
    Wecht, Brian
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2010, (09):
  • [43] RECURSION RELATIONS FOR COULOMB MATRIX ELEMENTS
    EPSTEIN, ST
    EPSTEIN, JH
    KENNEDY, B
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (09) : 1747 - &
  • [44] Recurrence relations for powers of recursion sequences
    Stinchcombe, AM
    [J]. FIBONACCI QUARTERLY, 1998, 36 (05): : 443 - 447
  • [45] ON RECURSION RELATIONS IN THE PROBLEM OF ENUMERATION OF POSETS
    Rodionov, V., I
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2020, 17 : 190 - 207
  • [46] Recursion Relations for Double Ramification Hierarchies
    Alexandr Buryak
    Paolo Rossi
    [J]. Communications in Mathematical Physics, 2016, 342 : 533 - 568
  • [47] SOLUTIONS OF LINEAR INHOMOGENEOUS RECURSION RELATIONS
    PHARES, AJ
    [J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1977, 22 (04): : 608 - 608
  • [48] On-shell recursion relations for gravity
    Hall, Anthony
    [J]. PHYSICAL REVIEW D, 2008, 77 (12):
  • [49] An introduction to on-shell recursion relations
    Feng, Bo
    Luo, Mingxing
    [J]. FRONTIERS OF PHYSICS, 2012, 7 (05) : 533 - 575
  • [50] RECURSION RELATIONS FOR GROUP SU(2)
    CARIDE, AO
    ZANETTE, SI
    FARACH, HA
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1978, 29 (02) : 278 - 282
12345