Seattering Diagrams,Sheaves,and Curves  

作　　者：Pierrick BOUSSEAU 

机构地区：[1]ETH Zurich,Institute for Theoretical Studies,Clausiusstrasse 47,Building CLV,8092 Zurich,Switzerland

出　　处：《Acta Mathematica Sinica,English Series》2021年第7期1005-1022,共18页数学学报（英文版）

摘　　要：We review the recent proof of the N.Takahashi's conjecture on genus 0 Gromov Witten invariants of(P^(2),E),where E is a smooth cubic curve in the complex projective plane P^(2).The main idea is the use of the algebraic notion of scattering diagram as a bridge between the world of Gromov-Witten invariants of(P^(2),E)and the world of moduli spaces of coherent sheaves on P^(2).Using this bridge,the N.Takahashi's conjecture can be translated into a manageable question about moduli spaces of coherent sheaves onP^(2)This survey is based on a three hours lecture series given as part of the Beijing-Zurich moduli workshop in Beijing,9-12 September 2019.

关 键 词：moduli spaces Gromov-Witten invariants coherent sheaves scattering diagrams 

分 类 号：O18[理学—数学]