$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$\mathbb {X}$ Categories (Memoirs of the American Mathematical Society) / Ikeda, Akishi/ Qiu, Yu

$$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$\mathbb {X}$ Categories (Memoirs of the American Mathematical Society)$

$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$\mathbb {X}$ Categories (Memoirs of the American Mathematical Society)

Ikeda, Akishi/ Qiu, Yu

American Mathematical Society（2025/07発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 92 p.
言語 ENG
商品コード 9781470473129

Full Description

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.

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