Homotopy Theory of Curved Operads and Curved Algebras (Memoirs of the American Mathematical Society)

Bellier-Milles, Joan/ Drummond-Cole, Gabriel C.

American Mathematical Society（2025/08発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 109 p.
• 言語 ENG
• 商品コード 9781470475789

Full 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.

Contents

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