2015/04/23 by D. Peter Overholser, Overholser, D. Peter
Physics and Astronomy · Computer Science · Mathematics · #Nonlinear Waves and Solitons #Polynomial and algebraic computation #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.1504.06138
We modify Gross's construction of mirror symmetry for ℙ2 by introducing a descendent tropical Landau-Ginzburg potential. The period integrals of this potential compute a modification of Givental's J-function, explicitly encoding a larger sector of the big phase space. As a byproduct of this construction, new tropical methods for computing certain descendent Gromov-Witten invariants are defined.