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$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$/mathbb {X}$ Categories - Akishi Ikeda, Yu Qiu

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

, (Autoren)

Buch | Softcover
92 Seiten
2025
American Mathematical Society (Verlag)
978-1-4704-7312-9 (ISBN)
CHF 139,30 inkl. MwSt
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An influential forum for fresh research in pure and applied mathematics, this series assembles expansive collections of themed scholarly papers. Under strict peer review and expert editorial oversight, it fosters deep exploration and rigorous dialogue on challenging mathematical problems, sparking innovative insights.
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.

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

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

Erscheinungsdatum
Reihe/Serie Memoirs of the American Mathematical Society
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-7312-7 / 1470473127
ISBN-13 978-1-4704-7312-9 / 9781470473129
Zustand Neuware
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