Yu-Wei FanTsinghua UniversitySimion FilipUniversity of ChicagoFabian HaidenSyddansk UniversitetLudmil KatzarkovMiami UniversityYijia LiuKansas State University
The main goal of this paper is to introduce a set of conjectures on the relations in the tautological rings. In particular, the framework gives an efficient algorithm to calculate all tautological equations using only finite dimensional linear algebra. Other applications are also indicated.
Yuan-Pin LeeDepartment of Mathematics, University of Utah, Salt Lake City, Utah, 84112Feng QuDepartment of Mathematics, University of Utah, Salt Lake City, Utah, 84112
We give an effective algorithm to compute the Euler characteristics χ(\mbar_{1,n}, \otimes_{i=1}^n L_i^{d_i}). In addition, we give a simple proof of Pandharipande's vanishing theorem H^j (\mbar_{0,n}, \otimes_{i=1}^n L_i^{d_i})=0 for j≥1,di≥0.