Stratified Noncommutative Geometry

Author(s)

Bibliographic Information

Stratified Noncommutative Geometry

David Ayala, Aaron Mazel-Gee, Nick Rozenblyum

(Memoirs of the American Mathematical Society, no.1485)

American Mathematical Society, c2024

  • :[pbk.]

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Note

"May 2024, volume 297, number 1485 (fourth of 5 numbers)"

Includes bibliographical references (p. 257-260)

Description and Table of Contents

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.

Table of Contents

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

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