Homotopy Theory of Curved Operads and Curved Algebras

Joan Bellier-Milles, Gabriel C. Drummond-Cole (Autoren)

Buch | Softcover

109 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7578-9 (ISBN)

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Immerse yourself in a realm of advanced mathematical research that brings together extensive studies in pure and applied fields through detailed monographs. Each volume is rigorously peer-reviewed and curated by experts, ensuring insightful and dependable contributions to the evolving landscape of mathematics.

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.

Joan Bellier-Milles, Universite de Toulouse, France. Gabriel C. Drummond-Cole, San Leandro, California.

Introduction
1. The filtered framework
2. Operads in the complete and filtered setting
3. Complete cooperads
4. Bar and cobar constructions in the curved setting
5. Koszul duality for curved operads
6. The associative case
A. Categorical filtrations and completions
B. Gr-flat objects and the associated graded
C. Model category structures

Erscheinungsdatum	25.09.2025
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	1-4704-7578-2 / 1470475782
ISBN-13	978-1-4704-7578-9 / 9781470475789
Zustand	Neuware