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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie


IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2017: 1.49

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1435-5345
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Volume 2013, Issue 680

Issues

Homological mirror symmetry for toric orbifolds of toric del Pezzo surfaces

Kazushi Ueda
  • Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1-1, Toyonaka, Osaka, 560-0043, Japan
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/ Masahito Yamazaki
  • Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-0033, Japan
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Published Online: 2012-03-23 | DOI: https://doi.org/10.1515/crelle.2012.031

Abstract

We formulate a conjecture which describes the Fukaya category of an exact Lefschetz fibration defined by a Laurent polynomial in two variables in terms of a pair consisting of a consistent dimer model and a perfect matching on it. We prove this conjecture in some cases, and obtain homological mirror symmetry for quotient stacks of toric del Pezzo surfaces by finite subgroups of the torus as a corollary.

About the article

Received: 2010-06-08

Revised: 2011-06-15

Published Online: 2012-03-23

Published in Print: 2013-06-01


Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2013, Issue 680, Pages 1–22, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crelle.2012.031.

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[2]
Виктор Владимирович Пржиялковский and Victor Vladimirovich Przyjalkowski
Математический сборник, 2017, Volume 208, Number 7, Page 84
[3]
Raf Bocklandt
Bulletin of the London Mathematical Society, 2016, Volume 48, Number 3, Page 387
[4]
Masahiro Futaki and Kazushi Ueda
Communications in Mathematical Physics, 2014, Volume 332, Number 1, Page 53

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