Differential Calculus of Hochschild Pairs for Infinity-Categories

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Iwanari, Isamu
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211023
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Differential Calculus of Hochschild Pairs for Infinity-Categories. Isamu Iwanari. SIGMA 16 (2020), 097, 57 pages

In this paper, we provide a conceptual new construction of the algebraic structure on the pair of the Hochschild cohomology spectrum (cochain complex) and Hochschild homology spectrum, which is analogous to the structure of calculus on a manifold. This algebraic structure is encoded by a two-colored...