Volume 22, issue 3 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 22
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Mirror theorem for elliptic quasimap invariants

Bumsig Kim and Hyenho Lho

Geometry & Topology 22 (2018) 1459–1481
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