Scattering Diagrams,Sheaves,and Curves Pierrick BOUSSEAU Abstract We review the recent proof of the N.Takahashi's conjecture on genus 0 GromovWitten invariants of (P^(2),E),where E is a smooth cubic curve in the c...Scattering Diagrams,Sheaves,and Curves Pierrick BOUSSEAU Abstract We review the recent proof of the N.Takahashi's conjecture on genus 0 GromovWitten 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).展开更多
文摘Scattering Diagrams,Sheaves,and Curves Pierrick BOUSSEAU Abstract We review the recent proof of the N.Takahashi's conjecture on genus 0 GromovWitten 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).
