$$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$\mathbb {X}$ Categories by Akishi Ikeda at Abbey's Bookshop,$

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

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Akishi Ikeda Yu Qiu

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

Akishi Ikeda, Yu Qiu

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English

American Mathematical Society
31 July 2025

Algebra; Algebraic geometry

Series: Memoirs of the American Mathematical Society

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.

By: Akishi Ikeda, Yu Qiu
Imprint: American Mathematical Society
Country of Publication: United States [Currently unable to ship to USA: see Shipping Info]
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9781470473129
ISBN 10: 1470473127
Series: Memoirs of the American Mathematical Society
Pages: 92
Publication Date: 31 July 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

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