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Softcover ISBN:  9781470457006 
Product Code:  CONM/763 
List Price:  $122.00 
MAA Member Price:  $109.80 
AMS Member Price:  $97.60 
eBook ISBN:  9781470464196 
Product Code:  CONM/763.E 
List Price:  $122.00 
MAA Member Price:  $109.80 
AMS Member Price:  $97.60 
Softcover ISBN:  9781470457006 
eBook ISBN:  9781470464196 
Product Code:  CONM/763.B 
List Price:  $244.00 $183.00 
MAA Member Price:  $219.60 $164.70 
AMS Member Price:  $195.20 $146.40 

Book DetailsContemporary MathematicsVolume: 763; 2021; 203 ppMSC: Primary 14; Secondary 53; 32
This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles about mirror symmetry, quantized singularity theory (FJRW theory), and the gauged linear sigma model.
Most of the expository works are based on introductory lecture series given at the workshop and provide an approachable introduction for graduate students to some fundamental topics in mirror symmetry and singularity theory, including quasimaps, localization, the gauged linear sigma model (GLSM), virtual classes, cosection localization, \(p\)fields, and Saito's primitive forms. These articles help readers bridge the gap from the standard graduate curriculum in algebraic geometry to exciting cuttingedge research in the field.
The volume also contains several research articles by leading researchers, showcasing new developments in the field.
ReadershipGraduate students and research mathematicians interested in enumerative geometry, singularity theory, and the relations between algebraic geometry and mathematical physics.

Table of Contents

Articles

Rachel Webb — Quasimaps and some examples of stacks for everybody

Emily Clader — Introduction to the gauged linear sigma model

Dustin Ross — Localization and mirror symmetry

WeiPing Li — A brief introduction to cosection localization and $P$fields

Mark Shoemaker — Virtual classes for hypersurfaces via twoperiodic complexes

Jeongseok Oh — Localized Chern characters for 2periodic complexes and virtual cycles

Todor Milanov — Singularity theory and mirror symmetry

Ursula Whitcher — Counting points with Berglund–Hübsch–Krawitz mirror symmetry

Honglu Fan and YuanPin Lee — Variations on the theme of quantum Lefschetz

Rongxiao Mi — Type II extremal transitions in GromovWitten theory

ChiuChu Melissa Liu — A lecture on holomorphic anomaly equations and extended holomorphic anomaly equations


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This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles about mirror symmetry, quantized singularity theory (FJRW theory), and the gauged linear sigma model.
Most of the expository works are based on introductory lecture series given at the workshop and provide an approachable introduction for graduate students to some fundamental topics in mirror symmetry and singularity theory, including quasimaps, localization, the gauged linear sigma model (GLSM), virtual classes, cosection localization, \(p\)fields, and Saito's primitive forms. These articles help readers bridge the gap from the standard graduate curriculum in algebraic geometry to exciting cuttingedge research in the field.
The volume also contains several research articles by leading researchers, showcasing new developments in the field.
Graduate students and research mathematicians interested in enumerative geometry, singularity theory, and the relations between algebraic geometry and mathematical physics.

Articles

Rachel Webb — Quasimaps and some examples of stacks for everybody

Emily Clader — Introduction to the gauged linear sigma model

Dustin Ross — Localization and mirror symmetry

WeiPing Li — A brief introduction to cosection localization and $P$fields

Mark Shoemaker — Virtual classes for hypersurfaces via twoperiodic complexes

Jeongseok Oh — Localized Chern characters for 2periodic complexes and virtual cycles

Todor Milanov — Singularity theory and mirror symmetry

Ursula Whitcher — Counting points with Berglund–Hübsch–Krawitz mirror symmetry

Honglu Fan and YuanPin Lee — Variations on the theme of quantum Lefschetz

Rongxiao Mi — Type II extremal transitions in GromovWitten theory

ChiuChu Melissa Liu — A lecture on holomorphic anomaly equations and extended holomorphic anomaly equations