Higher Airy Structures, $/mathcal {W}$ Algebras and Topological Recursion - Gaetan Borot, Vincent Bouchard, Nitin K. Chidambaram, Thomas Creutzig, Dmitry Noshchenko

Higher Airy Structures, $/mathcal {W}$ Algebras and Topological Recursion

Buch | Softcover
108 Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-6906-1 (ISBN)
98,20 inkl. MwSt
We define higher quantum Airy structures as generalizations of the Kontsevich–Soibelman quantum Airy structures by allowing differential operators of arbitrary order (instead of only quadratic). We construct many classes of examples of higher quantum Airy structures as modules of W(g) algebras at self-dual level.
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.

Gaetan Borot, Max Planck Institut fur Mathematik, Bonn, Germany, and Humboldt-Universitat zu Berlin, Germany, Vincent Bouchard, University of Alberta, Edmonton, Alberta, Canada, Nitin K. Chidambaram, University of Alberta, Edmonton, Alberta, Canada, and University of Edinburgh, United Kingdom, Thomas Creutzig, University of Alberta, Edmonton, Alberta, Canada, and Dmitry Noshchenko, University of Warsaw, Poland.

1. Introduction
2. Higher Quantum Airy Structures
3. $/mathcal {W}$ algebras and Twisted Modules
4. Higher Quantum Airy Structures from $/mathcal {W}$ algebras
5. Higher Quantum Airy Structures from Higher Abstract Loop Equations
6. $/mathcal {W}$ Constraints and Enumerative Geometry
A. Sums over Roots of Unity
B. Characterization of Admissible $(r,s)$
C. Proof of Uniqueness of the Solution to the Higher Abstract Loop Equations

Erscheinungsdatum
Reihe/Serie Memoirs of the American Mathematical Society ; Volume: 296 Number: 1476
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Gewicht 272 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Naturwissenschaften Physik / Astronomie
ISBN-10 1-4704-6906-5 / 1470469065
ISBN-13 978-1-4704-6906-1 / 9781470469061
Zustand Neuware
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