Mirror theorem for elliptic quasimap invariants

Kim, Bumsig; Lho, Hyenho

doi:10.2140/gt.2018.22.1459

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Mirror theorem for elliptic quasimap invariants

Bumsig Kim and Hyenho Lho

Geometry & Topology 22 (2018) 1459–1481

DOI: 10.2140/gt.2018.22.1459

Abstract

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.

Keywords

mirror theorem, elliptic quasimap invariants, elliptic Gromov-Witten invariants

Mathematical Subject Classification 2010

Primary: 14N35

Secondary: 14D23

References

Publication

Received: 1 May 2016

Revised: 28 March 2017

Accepted: 6 June 2017

Published: 16 March 2018

Proposed: Richard Thomas

Seconded: Jim Bryan, Dan Abramovich

Authors

Bumsig Kim
School of Mathematics Korea Institute for Advanced Study Seoul South Korea

Hyenho Lho
Department of Mathematics ETH Zürich Switzerland

Volume 22, issue 3 (2018)