$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$\mathbb {X}$ Categories

Author:   Akishi Ikeda ,  Yu Qiu
Publisher:   American Mathematical Society
ISBN:  

9781470473129


Pages:   92
Publication Date:   31 July 2025
Format:   Paperback
Availability:   Out of stock   Availability explained
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$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$\mathbb {X}$ Categories


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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

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Author:   Akishi Ikeda ,  Yu Qiu
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470473129


ISBN 10:   1470473127
Pages:   92
Publication Date:   31 July 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Chapters 1. Introduction 1. Categorical Part 2. $q$-Deformation of stability conditions 3. Topological Fukaya categories 4. Deformed Calabi-Yau-$\mathbb {X}$ completion 5. $q$-Deformation of topological Fukaya categories 2. Geometric Part 6. Quadratic differentials on Riemann surfaces 7. $q$-Deformation of quadratic differentials 8. $q$-Stability conditions via $q$-quadratic differentials 3. Applications 9. Bridgeland-Smith theory on Calabi-Yau-$N$ categories 10. Hurwitz spaces via quadratic differentials in genus zero 11. Almost Frobenius structures for stability conditions: ADE case

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Author Information

Akishi Ikeda, Josai University, Saitama, Japan, and Yu Qiu, Tsinghua University, Beijing, People's Republic of China, and Beijing Institute of Mathematical Sciences and Applications, People's Republic of China

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