Elliptic genera of complete intersection Calabi--Yau 17-folds in $F_4$-Grassmannians

Abstract

Motivated by the derived invariance problem of elliptic genera, we construct a non-birational pair of Calabi--Yau complete intersection 17-folds in $F_4$-Grassmannians with distinct Chern numbers and identical elliptic genera.

arXiv comment14 pages, 1 table