Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• ISSN: 1815-0659
• Main Author: Kaufmann, R.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146354
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions / R.M. Kaufmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 21 назв. — англ.

In this paper we extend our correlation functions to the open/closed case. This gives rise to actions of an open/closed version of the Sullivan PROP as well as an action of the relevant moduli space. There are several unexpected structures and conditions that arise in this extension which are forced...