Abstract
The aim of this paper (which is a sequel to Operadic categories as a natural environment for Koszul duality) is to set up the cornerstones of Koszul duality and Koszulity in the context of operads over a large class of operadic categories. In particular, for these operadic categories we will study concrete examples of binary quadratic operads, describe their Koszul duals and prove that they are Koszul. This includes operads (for operadic categories) whose algebras are the most important operad- and PROP-like structures such as the classical operads, their variants such as cyclic or modular operads, and also diverse versions of PROPs such as wheeled properads, dioperads, 12PROPs, and still more exotic objects such as permutads and pre-permutads.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
