Stratified Noncommutative Geometry

David Ayala, Aaron Mazel-Gee, Nick Rozenblyum (Autoren)

Buch | Softcover

260 Seiten

2024
American Mathematical Society (Verlag)
978-1-4704-6962-7 (ISBN)

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Exploring the frontiers of pure and applied mathematics, this series compiles expansive, connected research into detailed treatises. Each submission is carefully peer-reviewed to ensure adherence to the highest academic standards, offering refined insights and thought-provoking perspectives into mathematical subjects.

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.

David Ayala, Montana State University, Bozeman, Montana, Aaron Mazel-Gee, California Institute of Technology, Palo Alto, California, and Nick Rozenblyum, University of Chicago, Illinois.

1. Introduction
2. Detailed overview and fundamental examples
3. Stratified noncommutative geometry
4. Fundamental operations
5. The $/mathcal {O}$-monoidal reconstruction theorem
6. The geometric stratification of genuine $G$-spectra
7. The metacosm reconstruction theorem
8. Variations on the metacosm reconstruction theorem
A. Actions and limits, strict and lax
B. Some $(/infty ,2)$-category theory

Erscheinungsdatum	22.08.2024
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-6962-6 / 1470469626
ISBN-13	978-1-4704-6962-7 / 9781470469627
Zustand	Neuware