Geodesic
Mirror theorem for elliptic quasimap invariants
Kim, Bumsig1 ; Lho, Hyenho2
1 School of Mathematics, Korea Institute for Advanced Study, Seoul, South Korea
2 Department of Mathematics, ETH, Zürich, Switzerland
Geometry & topology, Tome 22 (2018) no. 3, pp. 1459-1481.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We propose and prove a mirror theorem for the elliptic quasimap invariants of smooth Calabi–Yau complete intersections in projective spaces. This theorem, combined with the wall-crossing formula of Ciocan-Fontanine and Kim, implies mirror theorems of Zinger and Popa for the elliptic Gromov–Witten invariants of those varieties. This paper and the wall-crossing formula provide a unified framework for the mirror theory of rational and elliptic Gromov–Witten invariants.

DOI : 10.2140/gt.2018.22.1459
Classification : 14N35, 14D23
Keywords: mirror theorem, elliptic quasimap invariants, elliptic Gromov-Witten invariants

Kim, Bumsig 1 ; Lho, Hyenho 2

1 School of Mathematics, Korea Institute for Advanced Study, Seoul, South Korea
2 Department of Mathematics, ETH, Zürich, Switzerland 
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Kim, Bumsig; Lho, Hyenho. Mirror theorem for elliptic quasimap invariants. Geometry & topology, Tome 22 (2018) no. 3, pp. 1459-1481. doi : 10.2140/gt.2018.22.1459. http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.1459/

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